FOM1 Unit 2 Test 2 - Linear and Exponential Functions

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35 questions

Note from the author:

Linear and Exponential functions from NC Math 1 2020.

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

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.

0.5

FOM1 Unit 2 Test 2 - Linear and Exponential Functions

FOM1 Unit 2 Test 2 - Linear and Exponential Functions

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

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.

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

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

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?

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.

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

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