Quiz about Real Life Exponential Functions

Question 1

A population of bacteria doubles every hour. If the initial population is 500, which function models the population after $$x$$ hours?

Accepted Answer

$$P(x)=500\left(2\right)^x$$

Answer

$$P(x)=2\left(500\right)^x$$

Answer

$$P(x)=2\left(500x\right)$$

Answer

$$P(x)=500+2^x$$

Question 2

The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 5^1.5d
How many downloads will the album have after 3 days?

Accepted Answer

1398

Answer

125

Answer

11

Answer

140

Question 3

The population of Boomtown is 10647 and is increasing at a rate of 3% each year. The exponential equation that represents the population of Boomtown after x years is $$p\left(x\right)=10647\left(1.03\right)^x$$ . When will the population exceed 30000 thousand people (to the nearest year)?

Accepted Answer

36

Answer

14

Answer

34

Answer

13

Question 4

The graph shows the number of game consoles sold in millions since 2009. Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

Accepted Answer

$$g\left(x\right)=25.5\left(0.6\right)^x$$

Answer

$$g\left(x\right)=0.6\left(25.5\right)^x$$

Answer

$$g\left(x\right)=6.12\left(25.5\right)^x$$

Answer

$$g\left(x\right)=25.5\left(6.12\right)^x$$

Question 5

An experiment begins with 20 grams of a radioactive isotope. This isotope has a half-life. If y is the mass in grams remaining after x half-lives have elapsed, which equation represents the amount of grams the isotope will weigh after 4 half-lives?

Accepted Answer

$$y=20\left(\frac{1}{2}\right)^4$$

Answer

$$y=20\left(2\right)^4$$

Answer

$$y=4\left(20\right)^{\frac{1}{2}}$$

Answer

$$y=20\left(4\right)^{\frac{1}{2}}$$

Question 6

Scientists have been monitoring and studying a specific animal population. They have found that the number of animals in the population can be modeled by the following exponential equation: P=1232(.8913)^t Determine which of the following statements are correct about this population. Select all that apply

Accepted Answer

Without intervention, the population will be extinct in 62 years.

Accepted Answer

The population is decreasing at a rate of 10.87%

Accepted Answer

In ten years the population will be 390

Answer

This population is in no danger of extinction

Answer

The population is increasing at a rate of 10.87%

Question 7

The equation y = a(1 - r)^x is used for:

Accepted Answer

Exponential Decay

Answer

1/2 life

Answer

Interest

Answer

Exponential Growth

Question 8

The equation y = a(1 + r)^x is used for:

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Half Life

Answer

Interest

Question 9

The equation A = Pe^rt is used for:

Accepted Answer

Interest Compounded Continuously

Answer

Half Life

Answer

Interest Compounded Monthly

Answer

Exponential Decay

Question 10

In the formula A = Pe^rt, P stands for

Accepted Answer

Principal (Amount Invested)

Answer

Interest Rate

Answer

Final Amount

Answer

Time

Real Life Exponential Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics