Modeling with Exponential Functions

Is the function growth or decay:

y= .3 (5)^x

• Growth

• Decay

Is the function growth or decay:

y= 2 (.3)^x

• Decay

• Growth

Is the function growth or decay:

y= 5 (.89)^x

• Decay

• Growth

(Growth and Decay Formula) You put $590 dollars in a savings account that pays 5.8% annual interest. How much money will you have after 8 years?

• 926.24

• 1050.88

• 850.36

• 790.24

(Growth and Decay Formula) Your car has a value of $10,948 but is decreasing at a rate of 3.5% yearly. How long will it take for your car to have a value of $5,474?

• 19.46

• 10

• 14

• 25.83

(Growth and Decay Formula) A town’s population is decreasing at a rate of 15% yearly. After 10 years, they have 48,962 people. What was the initial population?

• 248,664.3

• 2486.3

• 365,019.88

• 143,987.65

(Growth and Decay Formula) A town’s population is 75,488 people but is increasing at a rate of 9.2% yearly. How long will it take for the town to have 100,000 people?

• 3.19

• 6.2

• 10.5

• 1.3

(Create a table) You are outside enjoying the weather by skipping rocks. You decided to measure how far you skip them. On the first skip, your rock went 8 feet. On the second skip, your rock went 11 feet. If this trend continues, write a function and determine how far will your rock go on the 9^th skip.

• 140.54

• 43.2

• 25.6

• 280.98

(Create a table) One Kroger store has been tracking the amount of people that have been buying toilet paper each day during the coronavirus. On the first day, they noticed that 5,610 people came in to buy toilet paper. The second day, they noticed that 4,310 people came in to buy toilet paper. If this trend continues, write a function and determine how many people will buy toilet paper on the 10^th day.

• 402.24

• 563.8

• 138.9

• 235.64

(Compounding Formula) Joelle invested $19,000 in an account paying an interest rate of 4.7% compounded continuously. How much money would be in the account after 12 years?

• 33,963.3

• 48,769.3

• 22,901.4

• 66,908.7