Exponential Decay

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the decay rate in the following model?

A=1200(.85)⁶

• 1200

• .15

• .85

• 6

Tags

CCSS.HSF-IF.C.8B

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

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

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

• 225
• 325
• 425
• 525

Tags

CCSS.HSF.BF.A.2

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

• 1,069 people
• 894 people
• 816 people
• 854 people

Tags

CCSS.HSF-LE.A.1C

The Country of Puerto has 3,370,000 people in it and is decreasing at a rate of 4.5%. Estimate the population after 40 years.

• 534,275

• 19,601,148

• 1,350,756

• 2,521,541

Tags

CCSS.HSF-LE.A.1C

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