Exponential Functions Quiz

Which of the following scenarios is best modeled by an exponential function?

Solve the following equation:

$$3^{2x-1}=27$$

Consider the exponential function $$f\left(x\right)=250\left(1.07\right)^x$$ , which models the growth of an investment over years. Complete the following information:

The initial amount of the investment is (a)   . The annual growth factor is (b)   .

Match each real-world scenario to the exponential equation that best models it.

A new strain of bacteria is discovered. Initially, there are 50 bacteria cells. The number of bacteria doubles every hour. Write an exponential function to represent the number of bacteria b(t) after t hours.

Select all expressions that are equivalent to $$16^x$$ . SELECT ALL THAT APPLY!

The function $$V\left(t\right)=15000\left(0.90\right)^t$$ represents the value of a certain asset after t years. Use the problem context to complete the sentence:

The value "0.90" represents (a)   , and the value “15000” represents (b)   .

You are given descriptions of two functions below.
Function 1: The number of subscribers to a streaming service increases by 500 subscribers each month. In January, there were 10,000 subscribers.
Function 2: The value of a cryptocurrency, initially $100, increases by 5% each week.

The first function is ​a(n) (a)   and the function is written as ​ (b)   , when m is the number of months since January. The second function is a(n)​ (c)   and the function is written as (d)   , when w is the number of weeks.