Interpreting Exponential Equations

The cost of tuition at a local university is $12,000. The tuition is increasing at a rate of 6% per year. Write an exponential function to model this situation if x is the time in years.

• 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

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons. Which function models the amount of cola in gallons remaining in the machine after h hours?

• f(h) = 75(5)^h

• f(h) = 75(1.05)^h

• f(h) = .95(75)^h

• f(h) = 75(.95)^h

Tags

CCSS.HSF.LE.A.2

Brandy invests $1,500. Each year her investment grows by 3.5%. Which function can be used to determine the value of her investment after x years?

• 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

The value of a brand new car is $15,000. The value of the car depreciates at a rate of 8% per year. What is the exponential equation that models this situation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

Solve for x.
5^x = 1

• 0

• -1

• 2

• 1

Tags

CCSS.HSF.BF.B.5

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; (0, 1⁄3)

• y = 1⁄3 (3)^x ; (0, 3)

• y = 3 (1/3)^x ; (0, 1⁄3)

• y = 3 (1/3)^x ; (0,3)

Tags

CCSS.HSF.LE.A.2

Given y=3^x determine the y-intercept

• 1

• 3

• 0

• y

Tags

CCSS.HSF-IF.C.7E

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Tags

CCSS.HSF.LE.A.2

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

Tags

CCSS.HSF.LE.A.2

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Tags

CCSS.HSF-IF.C.7E