Exponential Growth and Decay Word Problems

North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the population of North Dakota was 700,000 people. North Dakota’s population has been growing by 5% per year. Express North Dakota’s population, N, in terms of years since 2013, t.

Check the BEST answer:

• N=700,000(1.05)t

• N=700,000(1.5)t

• N=700,000(1-0.05)^t

• N=700,000(0.95)^t

Tags

CCSS.HSF.LE.A.2

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.

Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

• Q=30(1+0.12)^t

• Q=30(1-0.12)^t

• Q=30(0.88)^t

• Q=12(1.30)^t

Tags

CCSS.HSF.LE.A.2

P = 8(1.23)^t

What is the initial quantity?

Tags

CCSS.HSF-IF.C.8B

P = 8(1.23)^t

What is the growth rate?

Write as a percent!

Tags

CCSS.HSF-IF.C.8B

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

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)

Tags

CCSS.HSF-LE.A.1C

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)

Tags

CCSS.HSF-LE.A.1C

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)

Tags

CCSS.HSF.BF.A.2

What is the formula for exponential decay?

• $f\left(x\right)=a\left(1-r\right)^x$

• $f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF-IF.C.8B

What is the formula for exponential growth?

• $f\left(x\right)=a\left(1-r\right)^x$

• $f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF-LE.A.1A