Exponential Functions Review

Which of the following equations represents an exponential function?

• y = (1/5)x + 4

Which situation is exponential?

• A airplane travels at a constant rate of 178 miles per hour for 2 hours.

• A population of bacteria doubles every hour.

• The temperature decreases by 5 degrees every hour.

• A car accelerates at a rate of 10 miles per hour.

Which situations are NOT exponential?

• A truck has an initial value of $30,000 and decreases in value by 12% each year.

• A car travels at a constant speed of 60 miles per hour.

• A bank account gets a deposit of $60 each week.

• A plant grows by adding 2 inches in height every week.

Which situaton is linear?

• A butterfly population starts with 7 and grows 30% each month.

• A savings account increases with interest at a rate of 3% each year.

• The temperature decreases by 2 degrees every hour.

• A phone battery loses 1/8 of its charge each hour.

The cost of a gym membership is represented by the function y = 5x + 20, where x is the number of specialty classes, and y is the total cost. a. What does the 5 represent in context?

• The cost of one specialty class

• The total cost of the gym membership

• The base cost of the gym membership

• The number of specialty classes included

The cost of a gym membership is represented by the function y = 5x + 20, where x is the number of specialty classes, and y is the total cost. a. What does the 20 represent in context?

• The number of speciality classes.

• The total cost of the membership after 20 months.

• The cost of the membership without any speciality classes.

• The cost of the membership with 20 speciality classes.

The current population of Clinton, Iowa is 900 people. If the population appreciates at a rate of 5% each year, which equation could be used to determine the town's population?

The current population of Asheville, North Carolina is 160,982 people. If the population appreciates at a rate of 5.25% each year, which equation could be used to determine the town's population?

• A. 28%

• B. 72%

• C. 200

• D. 0.72%

Which of the equations represents the table below?

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