Exponential Growth and Decay word problems

Front

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.

Back

Q=30(0.88)^t

Front

P = 8(1.23)^t

What is the initial quantity?

Back

8

Front

P = 8(1.23)^t

What is the growth rate?

Write as a percent!

Back

23%

Front

Q = 3.1(0.78)^t

What is the initial quantity?

Back

3.1

Front

Q = 3.1(0.78)^t

What is the DECAY rate? Write as a percent!

Back

22%

Front

You start an account with $500 and an interest rate of 6% compounded yearly. How much is in the account after 3 years?

Round to the nearest cent. (two decimal places)

Back

$595.51

Front

From 2000 - 2010 a city had a 2.5% annual decrease in population. If the city had 2,950,000 people in 2000, determine the city’s population in 2008.

Round to the nearest whole number.

Back

2,409,123

Front

You buy a car for $8000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?

Round to the nearest cent. (two decimal places)

Back

$4467.25