Chapter 6 Exponents and Exponential Functions

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

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Is this exponential growth or decay?

• Growth

• Decay

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

• 9600

• 12,800

• 200

• 8000

Is the following function an example of decay or growth? f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

A new savings account is opened with $1500 and gains 1.5% annual interest. What is the exponential function?

• f(x)=1500(1+1.5)^x

• f(x)=1500(1+0.015)^x

• f(x)=1500(1.00375)^x

• f(x)=1500(1.5)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

True or False: This is an exponential function.

• True

• False