Exponential Functions

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Is this exponential growth or decay?

• Growth
• Decay

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

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

Tisha deposited $200 in a savings account earning 12% interest, compounded annually.
To the nearest cent, how much will she have in 3 years?

• $280.99
• $224
• $80.99
• $136.29

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

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)

Des Moines is having a blizzard.  It has already snowed 1 inch and the total with double each hour.  Write an equation.

• y=1(2)^x
• y=1(1/2)^x
• y=2(1/2)^x
• y=2(2)^x

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

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay