Exponential Word Problems

Alex invests $2000 in an account that has a 6% annual rate of growth. When will the investment be worth $3600?

• It will never be worth that much

How many days will it take a culture of bacteria to increase from 2000 to 50,000 if the growth rate is 93.2% per day?

• Between 3 and 4 years

• Between 4 and 5 years

• Between 5 and 6 years

• Between 6 and 7 years

Tags

CCSS.HSF.LE.A.4

How many hours will it take a culture of bacteria to increase from 20 to 2000 if the growth rate per hour is 50%?

• 7 years

• 9 years

• 11 years

• 13 years

Tags

CCSS.HSF.LE.A.4

A piece of machinery valued at $250,000 depreciates at a fixed rate of 12% per year. After how many years will the value be about $100,000?

• 3 years

• 5 years

• 7 years

• 9 years

The newest model of a certain brand of car cost $16,800 in 2010. In what year would a similar car been purchased for $25,000 if the inflation rate is 5.1%?

• 2018

• 2002

• 2022

• 2028

A computer system depreciates at an average rate of 4% per month. If the value of the computer system was originally $12,000, in how many months is it worth $7350?

• 10 years

• 12 years

• 14 years

• 16 years

An eight inch plant was planted in the spring. Sometime later, it doubled in size. If the growth rate is 10%, how many weeks has the plant been in the ground?

• Between 6 and 7 weeks

• Between 7 and 8 weeks

• Between 8 and 9 weeks

• Between 9 and 10 weeks

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

• 356

• 265

• 5825

• 1329

Tags

CCSS.HSF.BF.A.2

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?

• $16,710.94

• $136.72

• $51,710.94

• $23,219.72

Tags

CCSS.HSF.BF.A.2

A city has a population of 21,517 based on a census taken in 1998. If the population is expected to grow by 11% annually, what will the population be in the year 2030?

• 492,573

• 606,900

• 517

• None of these

Tags

CCSS.HSF-LE.A.1C