Unit 6 Test

1

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

2

Select ALL functions that represents exponential DECAY.

1

Which point lies on the graph of the following function?

1

What is the y-intercept for the function?

Type your answer as an ordered pair (x,y)

2

Select the correct domain and range for the graph below.

1

Which type of model would be LEAST appropriate for the data shown in the scatter plot?

Make sure you are selecting the one that is LEAST appropriate.

1

What type of function does the following data represent?

1

What type of function does the following data represent?

1

The value of your $1000 iphone is losing 25% of its value per year. What function would represent the value, V, of your iphone, after t years?

1

Consider an investment of $2000 that earns 3.4% interest compounded monthly.
Which equation describes the value V(t) of the investment at time t?

1

You take out student loans totaling $72,000. You pay 4.5% interest, compounded weekly. How much would you owe after 3 years?

1

A scientist has a petri dish full of bacteria, and they are growing fast! The number of bacteria can be modeled by the function below, where t is the time in hours.
How many bacteria will there be after 12 hours?

Round to the nearest whole number.

1

The average price of a movie ticket is currently $14.50. They have been going up in price 4.8% per year. How much did movie tickets cost in the year that you were born?

Round to the nearest hundredth (penny).

1

Tuition at San Diego State is currently $4,068 for one semester and is going up 6.5% per year.
If tuition keeps rising at this rate, what will tuition cost for one semester in the year 2028?

Round to the nearest hundredth.

1

In 2010, there were 41 million iphones sold. In 2015, there were 193 million sold.
Find the rate at which iPhone sales are increasing.

Round to the nearest whole percent.

1

You are saving up to buy an e-bike that costs $1800. Your goal is to be able to afford it in 2 years. How much money should you invest in an account now that pays 3.61% annual interest compounded continuously for 2 years?

Round your answer to the nearest hundredth.

1

Spongebob and Patrick got into an accident, and took out a loan for $9,000 to help pay for their hospital bills. Their loan has a 2.91% interest rate compounded quarterly. By the time they finished paying off their loan 3 years later, how much interest did they pay?

Round to the nearest hundredth.

1

A Tesla model S costs $44,900. You are going to finance the cost of the car with an interest rate of 2.58%, compounded daily over 6 years. What will your monthly payment be to pay off this loan?

Round to the nearest hundredth.

1

The decay rate of Dramamine in a person's system can be modeled by the function and graph below. Dramamine makes you drowsy and it's not safe to drive until there is only 98 mg left in the person's system. If Haaken takes 500 mg of Dramamine at noon, at what time is it safe for him to drive?
Use the graph to answer the question.
If Haaken takes 500 mg of Dramamine at noon, at what time is it safe for him to drive?
Write your answer in time format: _ _:_ _

2

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

Select ALL functions that represents exponential DECAY.

Which point lies on the graph of the following function?

What is the y-intercept for the function? Type your answer as an ordered pair (x,y)

Select the correct domain and range for the graph below.

Which type of model would be LEAST appropriate for the data shown in the scatter plot?Make sure you are selecting the one that is LEAST appropriate.

What type of function does the following data represent?

What type of function does the following data represent?

The value of your $1000 iphone is losing 25% of its value per year. What function would represent the value, V, of your iphone, after t years?

Consider an investment of $2000 that earns 3.4% interest compounded monthly.Which equation describes the value V(t) of the investment at time t?

You take out student loans totaling $72,000. You pay 4.5% interest, compounded weekly. How much would you owe after 3 years?

A scientist has a petri dish full of bacteria, and they are growing fast! The number of bacteria can be modeled by the function below, where t is the time in hours.How many bacteria will there be after 12 hours? Round to the nearest whole number.

The average price of a movie ticket is currently $14.50. They have been going up in price 4.8% per year. How much did movie tickets cost in the year that you were born?Round to the nearest hundredth (penny).

Tuition at San Diego State is currently $4,068 for one semester and is going up 6.5% per year.If tuition keeps rising at this rate, what will tuition cost for one semester in the year 2028? Round to the nearest hundredth.

In 2010, there were 41 million iphones sold. In 2015, there were 193 million sold. Find the rate at which iPhone sales are increasing.Round to the nearest whole percent.

You are saving up to buy an e-bike that costs $1800. Your goal is to be able to afford it in 2 years. How much money should you invest in an account now that pays 3.61% annual interest compounded continuously for 2 years?Round your answer to the nearest hundredth.

Spongebob and Patrick got into an accident, and took out a loan for $9,000 to help pay for their hospital bills. Their loan has a 2.91% interest rate compounded quarterly. By the time they finished paying off their loan 3 years later, how much interest did they pay?Round to the nearest hundredth.

A Tesla model S costs $44,900. You are going to finance the cost of the car with an interest rate of 2.58%, compounded daily over 6 years. What will your monthly payment be to pay off this loan?Round to the nearest hundredth.

What is the y-intercept for the function?

Type your answer as an ordered pair (x,y)

Which type of model would be LEAST appropriate for the data shown in the scatter plot?

Make sure you are selecting the one that is LEAST appropriate.

Consider an investment of $2000 that earns 3.4% interest compounded monthly.
Which equation describes the value V(t) of the investment at time t?

A scientist has a petri dish full of bacteria, and they are growing fast! The number of bacteria can be modeled by the function below, where t is the time in hours.
How many bacteria will there be after 12 hours?

Round to the nearest whole number.

The average price of a movie ticket is currently $14.50. They have been going up in price 4.8% per year. How much did movie tickets cost in the year that you were born?

Round to the nearest hundredth (penny).

Tuition at San Diego State is currently $4,068 for one semester and is going up 6.5% per year.
If tuition keeps rising at this rate, what will tuition cost for one semester in the year 2028?

Round to the nearest hundredth.

In 2010, there were 41 million iphones sold. In 2015, there were 193 million sold.
Find the rate at which iPhone sales are increasing.

Round to the nearest whole percent.

You are saving up to buy an e-bike that costs $1800. Your goal is to be able to afford it in 2 years. How much money should you invest in an account now that pays 3.61% annual interest compounded continuously for 2 years?

Round your answer to the nearest hundredth.

Spongebob and Patrick got into an accident, and took out a loan for $9,000 to help pay for their hospital bills. Their loan has a 2.91% interest rate compounded quarterly. By the time they finished paying off their loan 3 years later, how much interest did they pay?

Round to the nearest hundredth.

A Tesla model S costs $44,900. You are going to finance the cost of the car with an interest rate of 2.58%, compounded daily over 6 years. What will your monthly payment be to pay off this loan?

Round to the nearest hundredth.