Exponential Function Word Problems

The foundation of your house has about 1,200 termites. If they are growing exponentially and there are 1,230 the next day. How many termites will be under your house after a week?

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Janayah has 58,290.97 in an investment she started 11 years ago. If the investment has made 8% annually how much was her initial investment

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Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?

• y = 74,000 (0.10)^x

• y = 74,000 (0.90)^x

• y = 74,000 (1.10)^x

• y = 74,000 (1.90)^x

• y = 74,000 (10)^x

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

• The population will be 225,000.

• The population will be 450,000.

• The population will be 900,000.

• The population will be 1,800,000.

• The population will be 675,000.

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

Solve this problem: When the apocalypse began, there were 5 zombies. Each day that number tripled. How many zombies would there be after a week (7 days)?

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Write an equation for this problem:

A population of 1200 bacteria is doubling each day for x days.

What would be the multiplier for this problem?

Matt has the chicken pox. On day one, he counted that he had 10 spots. Each day that number quadruples. How many would he have after 3 days?

• 10

• 3

• 4

• 1/4

• 1/3

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

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The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there in 1990, what will be the population in 2003?

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