7.4 WORK: Writing Exponential Growth and Decay Equations

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF-IF.C.7E

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-IF.C.8B

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 scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Tags

CCSS.HSF-IF.C.8B

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.

Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly

• Mr. Bittle initially invested $24,220

• Each month Mr. Bittle loses 15% of his investment

Tags

CCSS.HSF.LE.B.5

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

• ^0.08

• ^1.08

• 0.92

• 8%

Tags

CCSS.HSF-LE.A.1C

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

• ^0.08

• ^1.08

• 0.92

• 8

Tags

CCSS.HSF-IF.C.8B

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?

• .96
• 1.4
• 1.04
• $3000

Tags

CCSS.HSF-IF.C.8B

To convert decimal to a percent, you multiply the decimal value by 100.

• True

• False

If something has a 5% growth rate, the growth factor is ______.

• 1

• 1.5

• 1.05

• 5

Tags

CCSS.HSF-IF.C.8B

• 4%

• .4%

• 40%

• 60%

Tags

CCSS.HSF-IF.C.8B