Modeling with Exponential Function

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• 30

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CCSS.HSF.LE.B.5

Which of the following function describe exponential growth? Select all that apply.

• f(t) = 1.25^t

• f(t) = 2(0.93)^t

• f(t) = 3(1.07)^3t

• f(t) = 0.5(1.05)^t

• f(t) = 3(1.71)^5t

Tags

CCSS.HSF-LE.A.1A

The value of Amy's car depreciated each year after she bought it. The function v(t) = 24,893(0.88)t represents the value of Amy's car t years after she bought it. What is the rate of depreciation?

• 0.12%

• 0.88%

• 12%

• 88%

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CCSS.HSF-IF.C.8B

The Miller family and the Adams family both purchased houses on the same day several years ago. The Miller family bought their house for $159,352 and it has been increasing in value by 3.7% each year. The value of the Adams family’s home since it was purchased, A(x) , can be modeled by the function A(x) = 142,809(1.04)x, where x represents the number of years since the house was purchased. Which family's home value is increasing at a faster rate?

• The Miller family

• The Adams family

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

This equation shows.....

• Exponential Decay

• Exponential Growth

• Linear Function

• None of these

Tags

CCSS.HSF-IF.C.8B

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52

• $831.10

• $839.45

• $846.80

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

• $6,273.50

• $6,314.08

• $6,385.72

• $6,427.94

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

• $33,299.42

• $33,672.68

• $34,157.04

• $34,710.88

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

Tags

CCSS.HSF.BF.B.3

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same

• reflects, up 3, left 6

• reflects, right 3, down 6

• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3