Solving Exponential Growth and Decay Applications with Logarithms

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Is this exponential growth or decay?

• Growth

• Decay

What is the initial value for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What is the decay rate in the following model?

• 1200

• .15

• .85

• 6

What is the decay factor in the following model?
A=1200(.85)⁶

• 1200

• -.15

• .85

• A

Is this exponential growth or decay?

• Growth

• Decay

Is this exponential growth or decay?

• Growth

• Decay

Is this exponential growth or decay?

• Growth

• Decay