Exponential Functions

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

Tags

CCSS.HSF.LE.B.5

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

Tags

CCSS.HSF.LE.A.2

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

Tags

CCSS.HSF-IF.C.8B

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29
• $2,900,000,000
• $46,704.79
• $145,000

Tags

CCSS.HSF.BF.A.2

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.
• The predicted decrease in number of elephants in the refuge each year.
• The number of years it will take for the elephant population to stop increasing.
• The initial amount of elephants in the park.

Tags

CCSS.HSF.LE.B.5

The special number, natural base "e", is a ________________ number.

• rational

• irrational

• real

Tags

CCSS.HSF.BF.B.5

Simplify the expression.  $\frac{11e^9}{22e^{10}}$  

•  $\frac{2}{e}$  

•  $\frac{1}{2e}$  

•  $\frac{e^{-1}}{2}$  

•  $2e$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $\left(4e^{-2x}\right)^3$  

•  $\frac{4}{e^{6x}}$  

•  $\frac{1}{64e^{6x}}$  

•  $64e^{6x}$  

•  $\frac{64}{e^{6x}}$  

Tags

CCSS.HSN.RN.A.2

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

• $4915.59
• $3933.28
• $2979.81
• $4005.09

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2