Interpreting and Using Exponential Functions

What function model best represents the data in the table?

• linear

• exponential

• quadratic

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29

• $2,900,000,000

• $46,704.79

• $145,000

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; (0, 1⁄3)

• y = 1⁄3 (3)^x ; (0, 3)

• y = 3 (1/3)^x ; (0, 1⁄3)

• y = 3 (1/3)^x ; (0,3)

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What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Choose all the equations that are exponential:

• y = 6x -5

• y = 8^x - 9

• f(x) = 3x² + 4

• y = 1/3^x

• y = 7x³