Solve Exponential Growth and Decay

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

Solve

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• -3

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Write an exponential function to model the situation. Then solve. The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $1472.95

• C(t) = 12000(1.06)^t ; $15149.72

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 after h hours?

• f(h) = 75(-5)^h

• f(h) = -5(75)^h

• f(h) = .95(75)^h

• f(h) = 75(.95)^h

Tags

CCSS.HSF.LE.A.2

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6x^h

• f(h) = 6(3)^h

• f(h) = 3(6h)

Tags

CCSS.HSF.LE.A.2

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months. Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly

• Mr. Bittle initially invested $24,220

• Each month Mr. Bittle loses 15% of his investment

Tags

CCSS.HSF.LE.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

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year.

• V(t) = .88(18000)^t

• V(t) = .12(18000)^t

• V(t) = 18000(.88)^t

• V(t) = 18000(.12)^t

Tags

CCSS.HSF.LE.A.2