Exponential and Logarithmic Functions

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

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CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

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CCSS.HSF.LE.A.2

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

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CCSS.HSF.LE.B.5

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve: 2^x = 4^x+1

• -2

• 2

• -3

• 3

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve for x

• 5/3

• 2

• 3/5

• No solution

y = 4(3)^x

• Linear

• Exponential

• Neither

• All of the above