Algebra 2 Quiz 8.4 - 8.5

Use y=1150(1.03)^x.

What is the initial amount?

• 1.03

• x

• 1150

• 0.3

Use y=1150(1.03)^x.

What is the percent change?

• 1.03%

• 30%

• 103%

• 3%

Use h(t)=5500(0.65)^t.

What is the growth factor?

• 65%

• -35%

• 35%

• -65%

Write an exponential function which models the following situation:

the marketing department predicts a company's annual sales of $750,000 will grow by 4.5% each year.

• f(t) = 750,000(1 + 4.5)^t

• f(t) = 750,000(1)^0.045

• f(t) = 750,000(0.045)^t

• f(t) = 750,000(1 + 0.045)^t

Write an exponential function which models the following situation:

the marketing department predicts a company's annual sales of $500,000 will grow by 6% each year.

• f(f) = 500,000(1 + 6)^t

• f(f) = 500,000(1)^0.06

• f(f) = 500,000(0.06)^t

• f(f) = 500,000(1 + 0.06)^t

Evaluate f(12) for the following function:

f(t) = $1250(1 + .035)^t

• $15525

• $15000

• $1563.28

• $1888.84

Convert to logarithmic form.

2⁻³ = ⅛

• log₂ ⅛ =−3

• log_⅛ −3 =2

• log₋₃ ⅛ =2

• None of the above

Convert to exponential form.

log₈ 512=3

• 3⁸=512

• 8³=512

• 512³=8

• 512⁸=3

Convert to exponential form.

log_x z=y

• y^x=z

• x^y=z

• y^z=x

• x^z=y

Convert to logarithmic form.

x^y=z

• log_z x=y

• log_x y=z

• log_x z=y

• log_z y=x