Equations of Exponential Functions

Pick the only TRUE statement about \(y=ab^x\)

• x is the independent variable, y is the dependent variable

• x is the dependent variable, y in the independent variable

• a is the growth factor

• b is the starting value

Tags

CCSS.HSF-IF.C.8B

Choose the correct equation for an exponential function that starts at 5 and has a growth factor of 2

Tags

CCSS.HSF.LE.A.2

Choose the correct equation for an exponential function that has a growth factor of 3 and starts at 1

Tags

CCSS.HSF.LE.A.2

Choose the correct equation for the table

Tags

CCSS.HSF.LE.A.2

Write an exponential function to model the situation. The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

• C(t) = 12000(.94)^t

• C(t) = 12000(1.94)^t

• C(t) = 12000(.06)^t

• C(t) = 12000(1.06)^t

Tags

CCSS.HSF.LE.A.2

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

• B(t) = 1500(0.965)^t

• B(t) = 1500(1.035)^t

• B(t) = 1500(.035)^t

• B(t) = 1500(1.965)^t

Tags

CCSS.HSF.LE.A.2

Solve for x:

e^x=7

• ln7 = x

• ln⁷ = x

• 7^ln = x

• No solution

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Choose the correct equation for the table

Tags

CCSS.HSF.LE.A.2