Exponential 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

Tags

CCSS.HSF.LE.A.2

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.LE.B.5

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Tags

CCSS.HSA.APR.A.1

Simplify the following exponential expression:
(3x⁴)(5x³)

• 15x¹²
• 8x⁷
• 8x¹²
• 15x⁷

Tags

CCSS.6.EE.A.1

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-LE.A.1C

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

What is the y -intercept of  y=3(4)^x?

• 1
• 0
• 4
• 3

Tags

CCSS.HSF-IF.C.7E

Which function represents the table of values? 

• f(x) = 4x
• f(x) = x³
• f(x) = 4^x
• f(x) = 4^x-1

Tags

CCSS.HSF-LE.A.1A