Exponential Growth and Decay Compounded

In an exponential function, what does the b value represent?

• Rate of growth or decay

• Growth or Decay factor

• Initial value

• Exponent

Tags

CCSS.HSF-IF.C.8B

Determine the value of the decay rate for the function y = 56(0.45)^x?

• 0.55

• 0.45

• 1.45

• 1.55

Tags

CCSS.HSF-IF.C.8B

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

• 14327

• 4309

• 839

• 7680

Tags

CCSS.HSF-LE.A.1C

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the percentage increase of the population annually?

• 720,500%

• 102.2%

• 2.2%

• 22%

Tags

CCSS.HSF-IF.C.8B

The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?

• 100.0g

• 50.0g

• 12.5g

• 8.5g

Tags

CCSS.HSF.LE.A.4

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94

• $15,683.28

• $15,927.56

• $16,109.05

Pick the equation that is exponential decay

• y=2000(0.88)

• y=0.5(1.88)

What is the initial amount and growth rate?

• a=8, r=1.25%

• a=8, r=0.125%

• a=8, r=12.5%

• a=8, r=125%

Tags

CCSS.HSF-IF.C.8B

Is this problem a growth or decay? "Joe bought a $2500 computer that will

decrease in price at a rate of 5% each month, how much will it be worth in 17 months?"

• Growth

• Decay

Tags

CCSS.HSF.BF.A.2