Exponential Growth and Decay

• $258,000

• $250,000

• $242,000

• $234,000

Find the rate and starting value of the following Exponential Functions. y=5(1.05)^x

• a = 5, r = 1.05

• a = 1.05, r = 5

• a = 5, r = 0.05

• a = 5, r = -0.05

Find the rate and starting value of the following Exponential Functions. y=20(0.52)^x

• a = 20, r = 0.52

• a = 1.52, r = 20

• a = 20, r = 0.48

• a = 20, r = -0.48

Does the following Exponential Function represent growth or decay? y=5(1.05)^x

• Growth

• Decay

Does the following Exponential Function represent growth or decay? y=20(0.52)^x

• Growth

• Decay

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor? (1-r) = ?

• ^.08

• ^1.08

• .92

• 8

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

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

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+ 0.14)^x

• y=6(1 - 0.14)^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(1 - .30)^x

• y=30(5000)^x

• y=5000(1+.3 )^x

• y=5000(1 - .03)^x

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327 fish

• 4309 fish

• 839 fish

• 7680 fish