Linear Function Test

Last updated over 1 year ago

19 questions

Required

1

NC.M1.F-BF.1.a

1

NC.M1.F-IF.4

1

NC.M1.F-IF.4

1

NC.M1.A-CED.2

1

NC.M1.A-CED.2

1

NC.M1.A-CED.2

1

NC.M1.F-IF.7

1

NC.M1.F-IF.7

1

NC.M1.F-IF.2

1

NC.M1.F-IF.2

Required

1

NC.M1.A-CED.2

1

NC.M1.F-IF.9

1

NC.M1.F-IF.9

1

NC.M1.F-IF.9

1

NC.M1.F-IF.7

1

NC.M1.F-IF.7

1

NC.M1.F-IF.7

1

NC.M1.G-GPE.5

It costs a company $2,000 to purchase a machine that produces reusable water bottles and $2.75 to make each water bottle.

Which function represents the company's total cost in dollars, C(w), to produce w water bottles?

C(w) = 2.75w + 2000

C(w) = 2.75w - 2000

C(w) = 2000w + 2.75

C(w) = 2000w - 2.75

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground.

The height, y, in feet, of the apple is a function of time, x, in seconds, as shown in the table below.

Which statement best explains the meaning of the y-intercept for this function?

The apple is originally 8 ft above the ground.

The apple reaches a maximum height of 8 ft.

The apple takes 8 seconds to reach the ground.

The apple reaches its maximum height after 8 seconds.

Anthony and his family decide to rent snowmobiles during their winter vacation. They find a store that has a sign listing rental rates for one snowmobile.

Which statement correctly explains how the rental cost of a snowmobile may be calculated?

The initial cost for renting a snowmobile is $25, with each hour of use costing an additional $100

The initial cost for renting a snowmobile is $100, with each hour of use costing an additional $25.

The initial cost for renting a snowmobile is $75, with each hour of use costing an additional $25.

The initial cost for renting a snowmobile is $25, with each hour of use costing an additional $75.

Which equation represents a line that has a slope of -1/2 and passes through the point (4,0)

Which graph represents the equation y = -3x + 2

A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge, y, for hiring the technician for x hours?

y = 55x + 190

y = 45x + 190

y = 55x + 45

y = 45x + 55

What is the equation of the line graphed below?

Consider the function g(x) = -6x + 11. Enter the value of the y-coordinate at the y-intercept on the graph

The total monthly cost, T(m), of Teresa’s cell phone plan, in dollars, is calculated using the function T(m) = 59.95 + 0.15m, where m is the number of minutes she uses each month. The total monthly cost, R(n), of Randy’s cell phone plan, in dollars, is calculated using the function R(n) = 29.95 + 0.35n, where n is the number of minutes he uses each month. Teresa used 406 minutes last month. Randy used 327 minutes last month. How much less did Teresa owe than Randy?

$23.55

$29.80

$30.00

$53.55

Teresa has a booth at an art festival. It costs her $125 to use the booth, plus an additional $15 per hour to use a tent and tables. Which function describes her total cost, in dollars, for the booth, tent, and tables for x hours of use?

f(x) = 125(x+15)

f(x) = 125x + 15

f(x) = 15(x+125)

f(x) = 15x + 125

What is the equation in slope-intercept form of the line that passes through the points (−4, 47) and (2, −16)?

Layla compared the function f(x) = –4x – 5 to the linear function g(x) in the table below.
What is the sum of the y-intercepts of the functions?

Jack compared the function f(x) = 3x + 9 to the linear function g(x), shown in the table below.

Which statement is correct?

The slope of f(x) is 1/2 the slope of g(x).

The slope of f(x) is 1/3 the slope of g(x)

The slope of f(x) is 3 times the slope of g(x).

The slope of f(x) is the same as the slope of g(x).

Alicia compared the function f(x) = 4x – 3 to the linear function g(x) shown in the table below.

Which statement is true?

The y-intercept of f(x) is the same as the y-intercept of g(x).

The y-intercept of f(x) is 7 less than the y-intercept of g(x)

The y-intercept of f(x) is 3 less than the y-intercept of g(x).

The y-intercept of f(x) is twice the y-intercept of g(x).

What is the solution to this equation?

Show your work.

The function f(x) = 3x−2 undergoes a transformation to become g(x)=−3x−2. Which transformation has been applied to f(x) to obtain g(x)?

A. Vertical shift downward by 2 units

B. Reflection over the y-axis

C. Reflection over the x-axis

D. Horizontal shift to the left by 2 units

Which linear function below would be steeper than the linear parent function y = x (a stretch)?

Which statements below describe the changes that were made to the graph of the parent function to make the blue graph?

a reflection

a vertical translation up (shift up)

a horizontal translation right (shift right)

a stretch by a factor of 1/2 (steeper)

a shrink by a factor of 1/2 (less steep)

What line is parallel to

It costs a company $2,000 to purchase a machine that produces reusable water bottles and $2.75 to make each water bottle.

Which function represents the company's total cost in dollars, C(w), to produce w water bottles?

C(w) = 2.75w + 2000

C(w) = 2.75w - 2000

C(w) = 2000w + 2.75

C(w) = 2000w - 2.75

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground. 

The height, y, in feet, of the apple is a function of time, x, in seconds, as shown in the table below.

Which statement best explains the meaning of the y-intercept for this function?

The apple is originally 8 ft above the ground.

The apple reaches a maximum height of 8 ft.

The apple takes 8 seconds to reach the ground.

The apple reaches its maximum height after 8 seconds.

Anthony and his family decide to rent snowmobiles during their winter vacation. They find a store that has a sign listing rental rates for one snowmobile.

Which statement correctly explains how the rental cost of a snowmobile may be calculated?

The initial cost for renting a snowmobile is $25, with each hour of use costing an additional $100

The initial cost for renting a snowmobile is $100, with each hour of use costing an additional $25.

The initial cost for renting a snowmobile is $75, with each hour of use costing an additional $25.

The initial cost for renting a snowmobile is $25, with each hour of use costing an additional $75.

Which equation represents a line that has a slope of -1/2 and passes through the point (4,0)

Which graph represents the equation y = -3x + 2

A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge, y, for hiring the technician for x hours?

y = 55x + 190

y = 45x + 190

y = 55x + 45

y = 45x + 55

What is the equation of the line graphed below?

The total monthly cost, T(m), of Teresa’s cell phone plan, in dollars, is calculated using the function T(m) = 59.95 + 0.15m, where m is the number of minutes she uses each month. The total monthly cost, R(n), of Randy’s cell phone plan, in dollars, is calculated using the function R(n) = 29.95 + 0.35n, where n is the number of minutes he uses each month. Teresa used 406 minutes last month. Randy used 327 minutes last month. How much less did Teresa owe than Randy?

$23.55

$29.80

$30.00

$53.55

Teresa has a booth at an art festival. It costs her $125 to use the booth, plus an additional $15 per hour to use a tent and tables. Which function describes her total cost, in dollars, for the booth, tent, and tables for x hours of use?

f(x) = 125(x+15)

f(x) = 125x + 15

f(x) = 15(x+125)

f(x) = 15x + 125

What is the equation in slope-intercept form of the line that passes through the points (−4, 47) and (2, −16)?

Jack compared the function f(x) = 3x + 9 to the linear function g(x), shown in the table below.

Which statement is correct?

The slope of f(x) is 1/2 the slope of g(x).

The slope of f(x) is 1/3 the slope of g(x)

The slope of f(x) is 3 times the slope of g(x).

The slope of f(x) is the same as the slope of g(x).

Alicia compared the function f(x) = 4x – 3 to the linear function g(x) shown in the table below.

Which statement is true?

The y-intercept of f(x) is the same as the y-intercept of g(x).

The y-intercept of f(x) is 7 less than the y-intercept of g(x)

The y-intercept of f(x) is 3 less than the y-intercept of g(x).

The y-intercept of f(x) is twice the y-intercept of g(x).

The function f(x) = 3x−2 undergoes a transformation to become g(x)=−3x−2. Which transformation has been applied to f(x) to obtain g(x)?

A. Vertical shift downward by 2 units

B. Reflection over the y-axis

C. Reflection over the x-axis

D. Horizontal shift to the left by 2 units

Which linear function below would be steeper than the linear parent function y = x (a stretch)?

Which statements below describe the changes that were made to the graph of the parent function to make the blue graph?

a reflection

a vertical translation up (shift up)

a horizontal translation right (shift right)

a stretch by a factor of 1/2 (steeper)

a shrink by a factor of 1/2 (less steep)

What line is parallel to

Linear Function Test

Linear Function Test

Consider the function g(x) = -6x + 11. Enter the value of the y-coordinate at the y-intercept on the graph

Layla compared the function f(x) = –4x – 5 to the linear function g(x) in the table below.What is the sum of the y-intercepts of the functions?

What is the solution to this equation? Show your work.

It costs a company $2,000 to purchase a machine that produces reusable water bottles and $2.75 to make each water bottle.Which function represents the company's total cost in dollars, C(w), to produce w water bottles?

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground. The height, y, in feet, of the apple is a function of time, x, in seconds, as shown in the table below.Which statement best explains the meaning of the y-intercept for this function?

Anthony and his family decide to rent snowmobiles during their winter vacation. They find a store that has a sign listing rental rates for one snowmobile.Which statement correctly explains how the rental cost of a snowmobile may be calculated?

Which equation represents a line that has a slope of -1/2 and passes through the point (4,0)

Which graph represents the equation y = -3x + 2

A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge, y, for hiring the technician for x hours?

What is the equation of the line graphed below?

Consider the function g(x) = -6x + 11. Enter the value of the y-coordinate at the y-intercept on the graph

Teresa has a booth at an art festival. It costs her $125 to use the booth, plus an additional $15 per hour to use a tent and tables. Which function describes her total cost, in dollars, for the booth, tent, and tables for x hours of use?

What is the equation in slope-intercept form of the line that passes through the points (−4, 47) and (2, −16)?

Layla compared the function f(x) = –4x – 5 to the linear function g(x) in the table below.What is the sum of the y-intercepts of the functions?

Jack compared the function f(x) = 3x + 9 to the linear function g(x), shown in the table below.Which statement is correct?

Alicia compared the function f(x) = 4x – 3 to the linear function g(x) shown in the table below.Which statement is true?

What is the solution to this equation? Show your work.

The function f(x) = 3x−2 undergoes a transformation to become g(x)=−3x−2. Which transformation has been applied to f(x) to obtain g(x)?

Which linear function below would be steeper than the linear parent function y = x (a stretch)?

Which statements below describe the changes that were made to the graph of the parent function to make the blue graph?

What line is parallel to

Layla compared the function f(x) = –4x – 5 to the linear function g(x) in the table below.
What is the sum of the y-intercepts of the functions?

What is the solution to this equation?

Show your work.

It costs a company $2,000 to purchase a machine that produces reusable water bottles and $2.75 to make each water bottle.

Which function represents the company's total cost in dollars, C(w), to produce w water bottles?

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground.

The height, y, in feet, of the apple is a function of time, x, in seconds, as shown in the table below.

Which statement best explains the meaning of the y-intercept for this function?

Anthony and his family decide to rent snowmobiles during their winter vacation. They find a store that has a sign listing rental rates for one snowmobile.

Which statement correctly explains how the rental cost of a snowmobile may be calculated?

Layla compared the function f(x) = –4x – 5 to the linear function g(x) in the table below.
What is the sum of the y-intercepts of the functions?

Jack compared the function f(x) = 3x + 9 to the linear function g(x), shown in the table below.

Which statement is correct?

Alicia compared the function f(x) = 4x – 3 to the linear function g(x) shown in the table below.

Which statement is true?

What is the solution to this equation?

Show your work.