Exponential Quiz

• Growth

• Decay

The population of Townville is decreasing at a rate of 6% each year. If the starting population was 7,000 what equation represents the current population after x number of years?

Answer explanation

decay - subtract percent as a decimal from 1

Which graph is representative of the equation?

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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

Solve 8 = 2^5x+7

• ⅘

• ¼

• -⅘

• -¼

Convert 4^x = 64 to a Log

• Log₆₄(x) = 4

• Log_x(64) = 4

• Log₄(64) = x

• Log₄(x) = 64

Convert Log_a(100) = 2 to an exponent

• 100² = a

• 2^a = 100

• a² = 100

• a¹⁰⁰ = 2

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, an equation that can be used to estimate the population in x years is _____.

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

• A

• B

• C

• D