Exponential Functions Quiz

The average attendance at a local high school this year was 950 students.

Each year, the attendance decreases at a rate of 0.5% per year.

What is the function models the average attendance of the local high school over x years?

[Write you answer in the form: a(b)^x , where a and b are real numbers.]

Mathematical Equivalence

ON

The equation f(t) = 6000(0.9975)^t models the value of a car over time, t.

In the equation, what does the 6000 represent?

• The number of years the car has been owned

• The current value of the car

• The original price of the car

• The annual percent decrease in value of the car

A specific medicine decays at the rate of 18% per hour.

If the initial dose is 600 mg, which graph shows the amount of medicine in a person’s system over time, x?

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The number of visitors to a website can be modeled by the exponential function graphed on the grid,

where x is the number of years since 2010.

Based on the graph, which statement appears to be true?

• The website had exactly 400 visitors in 2015.

• The website added about 150 visitors each year.

• The website had about 950 visitors in 2016.

• The number of visitors to the website doubled each year.

Mathematical Equivalence

ON

The population of Meyersdale is changing exponentially.

This change is modeled by the function f(x) = 6600(1.17)x .

Interpret the a- and b-values of the function to describe how the population changes.

Explain your reasoning.

The population of bacteria in a Petri dish is increasing exponentially.

At noon, there were 32,600 bacteria in the dish.

An hour later, there were 34,556 bacteria.

Write a function in the form a(b)^x to model this situation.

Mathematical Equivalence

ON

The population of bacteria in a Petri dish is increasing exponentially.

At noon, there were 32,600 bacteria in the dish.

An hour later, there were 34,556 bacteria.

Interpret the a- and b-values in this context.

Robert uses f(x) = 1000(1.06)x to calculate the interest he earns each year for his savings account.

What is the yearly interest rate as a percent?

Mathematical Equivalence

ON

Given m(x) = 3 ∙ (2)^x + 5,

what is the value of m(8)?

Mathematical Equivalence

OFF