Exponential Word Problems

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

• $5,884.00

• $5,178.97

• $2,992.96

• $2,957.04

Tags

CCSS.HSF.BF.A.2

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

• $77,318

• $25,181

• $41,850

• The value won't change at all.

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?

• 9765

• 9006

• 5433

• 9766

Tags

CCSS.HSF.BF.A.2

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.LE.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

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 51 mg
• 284 mg
• 1843 mg
• 116 mg

Tags

CCSS.HSF.LE.A.4

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

• between 1 and two years
• more than 5 years
• less than a year
• between 3 and 4 years

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 19 to 20 hours
• 10 to 20 hours
• 15 to 16 hours
• 5 to 6 hours

Tags

CCSS.HSF.LE.A.4

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=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

• $77,318

• $25,181

• $41,850

• The value won't change at all.