Exponential Growth & Decay

Before plugging in the rate (r) into the exponential equation, you should ________.

• divide the % by 100

• multiply the % by 100

• divide the % by 10

• multiply the % by 10

Tags

CCSS.7.NS.A.2

CCSS.7.RP.A.2

CCSS.7.RP.A.3

If the rate of increase is 5%, what do you plug in for r in the exponential growth?

• 5

• 0.5

• 0.05

• 0.005

Tags

CCSS.HSF-IF.C.8B

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month.

At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• $y=417(1-0.0375)^x$

• $y=417(1-3.75)^x$

• $y=417(1+0.0375)^x$

• $y=417(1+3.75)^x$

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(1.14)^x
• y=6(0.86)^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 population of fish starts at 8,000 and increases by 6% per year.

Which exponential function can be used to find the fish population in 10 years?

• $y=8000\left(1.6\right)^{10}$

• $y=8000\left(1.06\right)^{10}$

• $y=8000\left(1.006\right)^6$

• $y=8000\left(1.66\right)^6$

Tags

CCSS.HSF.LE.A.2

A population of fish starts at 8,000 and increases by 6% per year.

What will the fish population be in 10 years?

• $14,327$

• $4309$

• $839$

• $7680$

Tags

CCSS.HSF-LE.A.1C

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

Tags

CCSS.HSF.BF.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Tags

CCSS.HSA.CED.A.1