Exponential Growth and Decay

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.7.RP.A.3

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

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

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. How long will her hair be in 8 weeks?

• 7 inches

• 14 inches

• 17 inches

• 20 inches

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

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

A population of 1500 deer decreases by 1.5% per year. How long will it take for the deer population to reach 750?

• about 46 years

• about 4 years

• about 2 years

• about 22 years

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, how long will it take for the store to sell 1,000 phones?

• about 4 months

• about 9 months

• about 24 months

• about 2.4 months

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

• f(x) = 12000(1 + 14.9)^x

• f(x) = 12000(1 - 14.9)^x

• f(x) = 12000(1 + 0.149)^x

• f(x) = 12000(1 - 0.149)^x

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. How many bacteria are left in the colony after 20 minutes?

• 476

• 4,760

• 48

• 10,212

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. How many minutes will it take to reduce the colony to 200 bacteria?

• about 25 minutes

• about 2.5 minutes

• about 39 minutes

• about 15 minutes