FOM1 Unit 2 Test 2 - Linear and Exponential Functions

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Linear and Exponential functions from NC Math 1 2020.

1 point

Question 1

Which table shows a sailboat that has a value depreciating at a rate of 14% each year?

A.  Table A

B.  Table B

C.  Table C

D.  None of them

1 point

Question 2

What is the slope of a vertical (up and down) line?

A.  0

B.  undefined

1 point

Question 3

A population of sea turtles is growing at a rate of 3% on North Carolina's coast due to great protection programs on the beaches. If there are currently 3,000 sea turtles, how many years will it take for the population to double?

A.  6,000 years

B.   6 years

C.  18 years

D.  24 years

1 point

Question 4

A deposit was made into a bank account, and it now has $60,000 in it. If the money is left in the account for 5 years and is compounded semi-annually at 4%, how much money will be in the account?

A.  $66,244.85

B.  $94,646.46

C.  $73,139.67

D.  $66,181.19

1 point

Question 5

Your $440 you got from graduation is place in a bank account that receives a 5.8% interest rate compounded annually. If you leave your money in the account for 8 years, how much will it be worth when you take it out?

A.  $690.78

B.  $17,088.71

C.  $708.94

D.  $687.56

1 point

Question 6

Which equation matches the table?

A.  y=2(7)^x

B.  y=7x+2

C.  y=2x+7

D.  y=7(2)^x

1 point

Question 7

Which equation is correct for the graph shown?

A.  y=\frac{1}{3}x-6

B.  y=-3x-2

C.  y=\frac{1}{3}x+2

D.  y=3x-6

1 point

Question 8

Wake County Public School System gave teachers a bonus and I decided to buy myself a new car! As you know, the value of a car depreciates as soon as you drive it off the lot. If I pay $38,500.00 for my car, and the car's value depreciates at a rate of 4% each year, then write an equation to model the value of this car over time, where v is the value of the car and n is the number of years since I purchased the car.

A.  v(n)=38500(4)^n

B.  v(n)=38500(0.04)^n

C.  v(n)=38500(1.04)^n

D.  v(n)=38500(0.96)^n

1 point

Question 9

Jackie deposits $5,000 into a bank account that is compounded quarterly at a rate of 7.5%. Which equation models this situation?

A.

B.

C.

D.

1 point

Question 10

10.

Janet wants to know how many seats are in each row of the theater. Jamal lets her know that each row has 2 seats more than the row in front of it. The first row has 14 seats. Is this situation...?

A.  Linear

B.  Exponential

C.  Neither

1 point

Question 11

11.

What is the equation of a line that has a slope of 2 and a y-intercept of -7?

A.  y=7x-2

B.  y=-7x+2

C.  y=2x+7

D.  y=2x-7

1 point

Question 12

12.

Find the slope of a line that goes through the points (8,-9) and (-4,15).

A.  m=-\frac{1}{2}

B.  m=\frac{1}{2}

C.   m=-2

D.  m=2

1 point

Question 13

13.

What best describes what could be happening in this graph?

A.  A population in a town adds 3 more people each year.

B.  A population of otters is doubling each year.

C.  A population in a city is decreasing by 8% each month.

D.  A population of an endangered species is dying.

1 point

Question 14

14.

Sarah is trying to answer the famous question, "How many licks does it take to get to the center of a Tootsie Pop?" To do this, she is counting the number of licks she takes and measuring the weight of the Tootsie Pop after each lick. Will her data that she collects represent continuous or discrete data?

A.  Continuous, because she can just constantly measure the weight.

B.  Discrete, because she can only measure the Tootsie Pop after each lick.

1 point

Question 15

15.

For a few months, Dexter recorded the amount of fluid ounces of laundry detergent remaining (y) after his family washed (x) loads of laundry. The equation is: y=-1.6x+50. Which statement correctly describes this situation?

A.  The amount of ounces left in the laundry detergent bottle decreases linearly.

B.  The amount of ounces left in the laundry detergent bottle increases linearly.

C.  The amount of ounces left in the laundry detergent bottle decreases exponentially.

D.  The amount of ounces left in the laundry detergent bottle increases exponetially.

1 point

Question 16

16.

Most Americans throw away their laundry detergent bottle when it has about 1/2 of an ounce of detergent left in it. If you use Dexter’s equation from above (y=-1.6x+50) and Mya’s equation for her laundry detergent, which is y=500(.75)^x, who will throw away their laundry detergent bottle first?

A.  Dexter and it will take about 31 loads of laundry.

B.  Mya and it will take about 16 loads of laundry.

C.  Dexter and it will take about 50 loads of laundry.

D.  Mya and it will take about 22 loads of laundry.

1 point

Question 17

17.

The value of an industrial embroidery machine is decreasing according to the function defined by V(t)=11,520(3)^-0.15t, where is the number of years since the machine was purchased. What does the value 11,520 represent?

A.  The original price of the machine.

B.  The rate at which the machine is decreasing.

C.  The number of years the machine is being used.

D.  The final cost of the machine after 3 years.

1 point

Question 18

18.

Determine the amount of an investment if $100 is invested at an interest rate of 5% compounded monthly for 5 years. Round your answer to the nearest whole dollar.

A.  $107

B.  $27

C.  $182

D.  $127

1 point

Question 19

19.

A student finds the slope of the line between (14,1) and (18,17). She writes 1-17/18-14. What mistake did she make?

A.  She should have added the values, not subtracted them.

B.  She used y-values where she should have used x-values.

C.  She mixed up the x- and y-values.

D.  She did not keep the order of the points the same in the numerator and the denominator.

1 point

Question 20

20.

A.  There is not enough information given. 

B.  Account 2

C.  Both options are equal.

D.  Account 1

1 point

Question 21

21.

Write an equation to model this situation.

Type your answer in the space provided.
Start with y = .
Use t for time.
Do not use spaces, commas, or dollar signs please.
Press SHIFT and 6 to make an exponent OR click the keyboard icon to get the exponent tool.

1 point

Question 22

22.

Using either your equation, a table, or another strategy you learned, find the value of the car 3 years after it was purchsed.

Round to the nearest hundredth (nearest cent).

1 point

Question 23

23.

Is the value of the car over time DISCRETE or CONTINUOUS?

Discrete

Continuous

0.5 points

0.5

Question 24

24.

What is the rate r (as a percent)?

y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

0.5 points

0.5

Question 25

25.

What is the time t?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

0.5 points

0.5

Question 26

26.

What is the number of compounds n?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

0.5 points

0.5

Question 27

27.

What is the type of compounding?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

Daily

Weekly

Monthly

Semi-annually

Annually

0.5 points

0.5

Question 28

28.

What is the starting amount?
y=100\left(1.06\right)^5

0.5 points

0.5

Question 29

29.

What is the rate as a percent?
y=100\left(1.06\right)^5

0.5 points

0.5

Question 30

30.

What is the time?
y=100\left(1.06\right)^5

0.5 points

0.5

Question 31

31.

Does it represent growth or decay?
y=100\left(1.06\right)^5

Growth

Decay

0.5 points

0.5

Question 32

32.

What is the starting amount?
y=235,000\left(0.75\right)^9

0.5 points

0.5

Question 33

33.

What is the rate as a percent?
y=235,000\left(0.75\right)^9

0.5 points

0.5

Question 34

34.

What is the time?
y=235,000\left(0.75\right)^9

0.5 points

0.5

Question 35

35.

Does it represent growth or decay?
y=235,000\left(0.75\right)^9

Growth

Decay

FOM1 Unit 2 Test 2 - Linear and Exponential Functions

Which table shows a sailboat that has a value depreciating at a rate of 14% each year?

What is the slope of a vertical (up and down) line?

A population of sea turtles is growing at a rate of 3% on North Carolina's coast due to great protection programs on the beaches. If there are currently 3,000 sea turtles, how many years will it take for the population to double?

A deposit was made into a bank account, and it now has $60,000 in it. If the money is left in the account for 5 years and is compounded semi-annually at 4%, how much money will be in the account?

Your $440 you got from graduation is place in a bank account that receives a 5.8% interest rate compounded annually. If you leave your money in the account for 8 years, how much will it be worth when you take it out?

Which equation matches the table?

Which equation is correct for the graph shown?

Jackie deposits $5,000 into a bank account that is compounded quarterly at a rate of 7.5%. Which equation models this situation?

Janet wants to know how many seats are in each row of the theater. Jamal lets her know that each row has 2 seats more than the row in front of it. The first row has 14 seats. Is this situation...?

What is the equation of a line that has a slope of 2 and a y-intercept of -7?

Find the slope of a line that goes through the points (8,-9) and (-4,15).

What best describes what could be happening in this graph?

For a few months, Dexter recorded the amount of fluid ounces of laundry detergent remaining (y) after his family washed (x) loads of laundry. The equation is: y=-1.6x+50. Which statement correctly describes this situation?

Most Americans throw away their laundry detergent bottle when it has about 1/2 of an ounce of detergent left in it. If you use Dexter’s equation from above (y=-1.6x+50) and Mya’s equation for her laundry detergent, which is y=500(.75)^x, who will throw away their laundry detergent bottle first?

The value of an industrial embroidery machine is decreasing according to the function defined by V(t)=11,520(3)^-0.15t, where is the number of years since the machine was purchased. What does the value 11,520 represent?

Determine the amount of an investment if $100 is invested at an interest rate of 5% compounded monthly for 5 years. Round your answer to the nearest whole dollar.

A student finds the slope of the line between (14,1) and (18,17). She writes 1-17/18-14. What mistake did she make?

Write an equation to model this situation. Type your answer in the space provided. Start with y = .Use t for time.Do not use spaces, commas, or dollar signs please.Press SHIFT and 6 to make an exponent OR click the keyboard icon to get the exponent tool.

Using either your equation, a table, or another strategy you learned, find the value of the car 3 years after it was purchsed. Round to the nearest hundredth (nearest cent).

Is the value of the car over time DISCRETE or CONTINUOUS?

What is the rate r (as a percent)?y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the time t?y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the number of compounds n?y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the type of compounding?y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the starting amount?y=100\left(1.06\right)^5

What is the rate as a percent?y=100\left(1.06\right)^5

What is the time?y=100\left(1.06\right)^5

Does it represent growth or decay?y=100\left(1.06\right)^5

What is the starting amount? y=235,000\left(0.75\right)^9

What is the rate as a percent?y=235,000\left(0.75\right)^9

What is the time?y=235,000\left(0.75\right)^9

Does it represent growth or decay?y=235,000\left(0.75\right)^9

Write an equation to model this situation.

Type your answer in the space provided.
Start with y = .
Use t for time.
Do not use spaces, commas, or dollar signs please.
Press SHIFT and 6 to make an exponent OR click the keyboard icon to get the exponent tool.

Using either your equation, a table, or another strategy you learned, find the value of the car 3 years after it was purchsed.

Round to the nearest hundredth (nearest cent).

What is the rate r (as a percent)?

y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the time t?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the number of compounds n?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the type of compounding?
y=4,000\left(1+\frac{.03}{52}\right)^{52*6}

What is the starting amount?
y=100\left(1.06\right)^5

What is the rate as a percent?
y=100\left(1.06\right)^5

What is the time?
y=100\left(1.06\right)^5

Does it represent growth or decay?
y=100\left(1.06\right)^5

What is the starting amount?
y=235,000\left(0.75\right)^9

What is the rate as a percent?
y=235,000\left(0.75\right)^9

What is the time?
y=235,000\left(0.75\right)^9

Does it represent growth or decay?
y=235,000\left(0.75\right)^9