Exponential Function Growth and Decay Interpretation

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

• 0.08

• 0.92

• 1.08

• 8

Tags

CCSS.HSF-IF.C.8B

Which of the functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

• y = 15(1.35)^x

Tags

CCSS.HSF.LE.A.2

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

• y = 5000(0.70)^x

• y = 30(5000)^x

• y = 5000(1.30)^x

• y = 5000x^x

Tags

CCSS.HSF.LE.A.2

The population of mosquitoes at the beginning of the summer is 4000. The population grows at a rate of 25% a month. How many will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

What are two points on the graph of y = 5(3)^x?

• (0, 3) and (1, 15)

• (0, 5) and (1, 15)

• (0, 3) and (1, 5)

• (0, 5) and (1, 3)

Tags

CCSS.HSF-IF.C.7E

What is the growth rate for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF-IF.C.8B

Determine if the graph represents growth or decay. Also determine the y-intercept.

• decay, 5

• decay, 1

• growth, 5

• growth, 1

Tags

CCSS.HSF-IF.C.7E

Which of the graphs below represents y = 6(2)^x?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

The value of a car you purchased for $20,000 decreases at a rate of 12% each year. What will the value of the car be after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Tags

CCSS.HSF.BF.A.2

The horizontal asymptote of y = 3(2)^x is:

• the y-axis

• the x-axis

• y = x

• There is no asymptote

Tags

CCSS.HSF-IF.C.7D