Unit 10 Study Guide

Solve for x:
3^2x = 27

• 3/2
• -2
• 0
• 5

• the initial number of ants

• the number of ants that have been added to the ant farm

• the factor that the ant population has been multiplied by

• the months that the ant population has doubled

A new savings account is opened with $400 and gains 3% every year. Which of the following equations can be used to determine how many years it will take for there to be over $500 in the account?

• 400=500(1+3)^x

• 500=400(1 - 0.03)^x

• 500=400(1 + 0.03)^x

• 500=400(0.03)^x

• The initial number of bacteria is 25

• The number of backteria at the end of one day is 25

• The initial number of bacteria decreases at a rate of 40%

• The bacteria increases at a rate of 140% each day

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

• between 1 and two years
• more than 5 years
• less than a year
• between 3 and 4 years

• x = -1
• x = -4
• x = 2

• x = 1

Solve for p.

4^p+2 = 64

• p = 6

• p = 1

• p = 8

• p = 7/6

In the equation 𝑦 = 2.1 (1 -.04) ^x , what is the decay factor of this function?

• 1.04%

• 2.1

• .96

• 2.1 %

The original value of a painting is $1400, and the value decreases 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 exponential equation would be represented by this table?

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3