Quiz about Interpreting Exponential Functions

Question 1

A student used $$f(x)=5.00(1.012)^x$$ to show how the balance in a savings account will increase over time. What does the 5.00 represent?

Accepted Answer

The starting balance of the savings account.

Answer

The interest the savings account earned for the first year.

Answer

The annual interest rate of the savings account.

Answer

The number of years the savings account has earned interest.

Question 2

A part of an exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

Accepted Answer

$$x\ge-2$$

Answer

$$y\ge4.5$$

Answer

$$x\ge4.5$$

Answer

$$y\ge-2$$

Question 3

An insect population after x months can be modeled by the function $$g\left(x\right)=18\left(1.3\right)^x$$ . Which statement is the best interpretation of one of the values in this function?

Accepted Answer

The insect population increased at a rate of 30% each month.

Answer

The insect population increased by 13 insects each month.

Answer

The insect population decreased by 13 insects each month.

Answer

The insect population decreased at a rate of 30% each month.

Question 4

The graph of an exponential function is shown on the grid.

Based on the graph, which statement about the range of the function is true?

Accepted Answer

All real numbers greater than 0.

Answer

All real numbers.

Answer

All real numbers less than 0.

Answer

All real numbers greater than 6.

Question 5

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by $$b\left(x\right)=850\left(1.025\right)^x$$ .

Which statement is the best interpretation of one of the value in this function?

Accepted Answer

The balance in the account increases at a rate of 2.5% each year.

Answer

The initial balance of the account decreases at a rate of 97.5% each year.

Answer

The initial balance of the account was $1,025.

Answer

The balance in the account at the end of one year is $850.

Question 6

A part of an exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

Accepted Answer

All real numbers.

Answer

$$y>0$$

Answer

$$x<0$$

Answer

$$y>10$$

Question 7

Scientists are studying a bacteria sample. The function $$f\left(x\right)=245\left(1.12\right)^x$$ gives the number of bacteria in the sample at the end of x days.

Which statement is the best interpretation of one of the values in this function?

Accepted Answer

The number of bacteria increases at a rate of 12% each day.

Answer

The initial number of bacteria is 12.

Answer

The initial number of bacteria decreases at a rate of 88% each day.

Answer

The number of bacteria at the end of one day is 245.

Question 8

The function $$g\left(t\right)=385\left(1.075\right)^t$$ can be used to estimate the population of bears in a forest. What does the 1.075 represent in this function?

Accepted Answer

The growth factor of the numbers of bears in the forest.

Answer

The initial number of bears in the forest.

Answer

The decay factor of the number of bears in the forest.

Answer

The number of bears in the forest at the end of the first year.

Question 9

The function $$g\left(t\right)=765\left(0.35\right)^t$$ can be used to estimate the population of bears in a forest. What does the 0.35 represent in this function?

Accepted Answer

The decay factor of the number of bears in the forest.

Answer

The initial number of bears in the forest.

Answer

The number of bears in the forest at the end of the first year.

Answer

The growth factor of the numbers of bears in the forest.

Question 10

The graph of an exponential function is shown on the grid.

Based on the graph, which statement about the range of the function is true?

Accepted Answer

All real numbers greater than 0.

Answer

All real numbers less than 5.

Answer

All real numbers.

Answer

All real numbers greater than 5.

Interpreting Exponential Functions

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