Unit 6 Review

1

Select ALL of the possible types of functions that can be represented by the data graphed below

1

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

Formulas:

1

The average rent price for a 2-bedroom apartment in Carlsbad is currently $1,850. The price is going up on average of 4.5% per year. Find how much rent will cost in the year 2027.

Round to the nearest hundredth.

1

You invest $30,000 in a 401K retirement account at the age of 25. The account pays 6% interest, compounded monthly. How much money will you have in your account when you retire at age 67?

Round to the nearest hundredth.

1

Aubrey invested $4000 into an account that has a 1.25% interest rate compounded annually. What is the value of the investment after 10 years?

1

When Chatham was 8 years old, his uncle started a college fund for him, and deposited some money into account that is compounded semi-annually with an interest rate of 1.37%. Now that Chatham is 15 years old, he looked up the account and saw that there is currently $5,501.45 in it. How much money did his uncle invest for him when he was 8?

1

In 2007 China sold 5,150,000 cars. In 2015 they sold 20,000,356 cars. Find the rate at which China's car sales are increasing.
Round to the nearest whole percent.

1

Cameron and Damon each apply for a $12,000 loan to buy a new car. The bank agrees to the loans and informs them that it will be compounded quarterly for 2 years, and interest rates will be calculated according to the table below. Cameron's credit score is 630 and Damon's credit score is 702.

By the time they pay off their loans in 2 years, how much more money will Cameron have paid due to his lower credit score?
Don't round until the very end! Round to the nearest hundredth.

1

Jaxsen needs a $30,000 loan. He goes to the bank and they find his credit score is 658, so they agree to loan him the money and inform him that the loan will be compounded weekly for 4 years.

How much interest will Jaxsen end up paying by the time he pays off the loan in 4 years? Round to the nearest hundredth.

1

Type "yes" or "no" and be sure to show your work/explain how you know!

1

Maya took out a car loan for $13,000. The bank gave her an interest rate of 3.92% that will be compounded continuously for 4 years. What will Maya's monthly payment be to pay off this loan?

Round to the nearest hundredth.

1

What is the equation of the horizontal asymptote for the graph of the function below?

*Type y=____

1

Which point lies on the graph of the following function?
Hint: sub in each x-value from the points below.

1

Select ALL the transformations of the function below compared to its parent function y=5^x.

1

What is the y-intercept of the exponential function in the graph?

Write your answer as an ordered pair (x,y).

1

What is the y-intercept of the exponential function?

Write your answer as an ordered pair (x,y).

1

Select the correct domain AND range for the graph below.

1

What is the equation of the horizontal asymptote?

1

What is the equation of the horizontal asymptote?

1

Select ALL functions that represent GROWTH

1

Does the equation below represent exponential growth or exponential decay?

1

Select the correct domain AND range for the function below.
Hint: it may be helpful to sketch its graph.

1

What is the range for the function below?

1

Match each equation with its graph.

1

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

1

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

1

A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function described in this situation.
y=a(1-r)^t

1

Use your function from #27 to determine how much the car is worth after 10 years. Round to the nearest hundredth.

1

You have a charge of $1,100 on your credit card. Your card charges 22.3% interest, compounded daily. How much will you owe in 2 years, assuming you make no payments?

1

Round to the nearest tenth. Don't forget it's in millions!

1

Use this information to answer the next four questions.

The average cost of living in California for 2021 was $46,636. The year before that it was $45,950. What is the growth rate that the cost of living is increasing by?

Write your answer as a percent and round to the nearest tenth.

1

What is the growth factor that the cost of living in California is increasing by?

Round to the 3 decimal places.

1

Use the information from #31 to determine what the cost of living will be in year 2030. Round to the nearest hundredth.

1

Select ALL of the possible types of functions that can be represented by the data graphed below

Determine which type of function this represents.Exponential growth, Exponential decay, Quadratic, or Linear?

The average rent price for a 2-bedroom apartment in Carlsbad is currently $1,850. The price is going up on average of 4.5% per year. Find how much rent will cost in the year 2027.Round to the nearest hundredth.

You invest $30,000 in a 401K retirement account at the age of 25. The account pays 6% interest, compounded monthly. How much money will you have in your account when you retire at age 67?Round to the nearest hundredth.

Aubrey invested $4000 into an account that has a 1.25% interest rate compounded annually. What is the value of the investment after 10 years?

In 2007 China sold 5,150,000 cars. In 2015 they sold 20,000,356 cars. Find the rate at which China's car sales are increasing.Round to the nearest whole percent.

Type "yes" or "no" and be sure to show your work/explain how you know!

Maya took out a car loan for $13,000. The bank gave her an interest rate of 3.92% that will be compounded continuously for 4 years. What will Maya's monthly payment be to pay off this loan?Round to the nearest hundredth.

What is the equation of the horizontal asymptote for the graph of the function below?*Type y=____

Which point lies on the graph of the following function?Hint: sub in each x-value from the points below.

Select ALL the transformations of the function below compared to its parent function y=5^x.

What is the y-intercept of the exponential function in the graph?Write your answer as an ordered pair (x,y).

What is the y-intercept of the exponential function?Write your answer as an ordered pair (x,y).

Select the correct domain AND range for the graph below.

What is the equation of the horizontal asymptote?

What is the equation of the horizontal asymptote?

Select ALL functions that represent GROWTH

Does the equation below represent exponential growth or exponential decay?

Select the correct domain AND range for the function below.Hint: it may be helpful to sketch its graph.

What is the range for the function below?

Match each equation with its graph.

Determine which type of function this represents.Exponential growth, Exponential decay, Quadratic, or Linear?

Determine which type of function this represents.Exponential growth, Exponential decay, Quadratic, or Linear?

A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function described in this situation.y=a(1-r)^t

Use your function from #27 to determine how much the car is worth after 10 years. Round to the nearest hundredth.

You have a charge of $1,100 on your credit card. Your card charges 22.3% interest, compounded daily. How much will you owe in 2 years, assuming you make no payments?

Round to the nearest tenth. Don't forget it's in millions!

Use this information to answer the next four questions.The average cost of living in California for 2021 was $46,636. The year before that it was $45,950. What is the growth rate that the cost of living is increasing by? Write your answer as a percent and round to the nearest tenth.

What is the growth factor that the cost of living in California is increasing by?Round to the 3 decimal places.

Use the information from #31 to determine what the cost of living will be in year 2030. Round to the nearest hundredth.

Use the information from #31 to determine what the cost of living was in year 2010. Round to the nearest hundredth.

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

The average rent price for a 2-bedroom apartment in Carlsbad is currently $1,850. The price is going up on average of 4.5% per year. Find how much rent will cost in the year 2027.

Round to the nearest hundredth.

You invest $30,000 in a 401K retirement account at the age of 25. The account pays 6% interest, compounded monthly. How much money will you have in your account when you retire at age 67?

Round to the nearest hundredth.

In 2007 China sold 5,150,000 cars. In 2015 they sold 20,000,356 cars. Find the rate at which China's car sales are increasing.
Round to the nearest whole percent.

Maya took out a car loan for $13,000. The bank gave her an interest rate of 3.92% that will be compounded continuously for 4 years. What will Maya's monthly payment be to pay off this loan?

Round to the nearest hundredth.

What is the equation of the horizontal asymptote for the graph of the function below?

*Type y=____

Which point lies on the graph of the following function?
Hint: sub in each x-value from the points below.

What is the y-intercept of the exponential function in the graph?

Write your answer as an ordered pair (x,y).

What is the y-intercept of the exponential function?

Write your answer as an ordered pair (x,y).

Select the correct domain AND range for the function below.
Hint: it may be helpful to sketch its graph.

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

Determine which type of function this represents.

Exponential growth, Exponential decay, Quadratic, or Linear?

A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function described in this situation.
y=a(1-r)^t

Use this information to answer the next four questions.

The average cost of living in California for 2021 was $46,636. The year before that it was $45,950. What is the growth rate that the cost of living is increasing by?

Write your answer as a percent and round to the nearest tenth.

What is the growth factor that the cost of living in California is increasing by?

Round to the 3 decimal places.