Writing Exponential Growth and Decay Equations

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

• Growth, because the change factor is greater than 1

• Growth, because the change factor is less than 1

• Decay, because the change factor is greater than 1

• Decay, because the change factor is less than 1

Tags

CCSS.HSF-IF.C.8B

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?

• 6% growth
• 6% decay
• 1.06% growth
• .06% decay

Tags

CCSS.HSF.LE.B.5

8.9% as a decimal is ______?

• .89

• .089

• .0089

• 8.9

• Because the 25 was bigger than one

• Because the 0.20 was bigger than one

• Because the 25 was less than one

• Because the 0.20 was less than one

Tags

CCSS.HSF-IF.C.8B

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

Suppose a culture of bacteria begins with 5000 cells and decreases by 30% each year. Write an equation that represents this situation.

• y=5000(0.70)^x

• y=30(5000)^x
• y=5000(1.3)^x
• y=5000(3)^x

Tags

CCSS.HSF.LE.A.2

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

 A flea medicine breaks down at a rate of 20% per hour. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

Tags

CCSS.HSF.LE.A.2

Write an exponential function to model the situation. The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

• C(t) = 12000(.94)^t

• C(t) = 12000(1.94)^t

• C(t) = 12000(.06)^t

• C(t) = 12000(1.06)^t

Tags

CCSS.HSF.LE.A.2

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

• f(h) = 75 (-5)^h

• f(h) = -5 (75)^h

• f(h) = .95 (75)^h

• f(h) = 75 (.95)^h

Tags

CCSS.HSF.LE.A.2