Growth and Decay Problems

3.1(0.78)^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)

(a)  

Tags

CCSS.HSF-LE.A.1C

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 (a)   (these are people)... so whole number!

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)

(a)  

Tags

CCSS.HSF.BF.A.2

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=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

A student invests $500 for x years in a savings account that earns 4% interest per year. No further deposits or withdrawals are made during this time. Write an function f(x) to represent the amount of money earned after x years.

• f(x) = 500 (.60)^x

• f(x) = 500 (.96)^x

• f(x) = 500 (1.04)^x

• f(x) = 500 (1.4)^x

Tags

CCSS.HSF-BF.A.1A

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Give the rate of growth:
y = 5(1.27)^x

• 127%

• 27%

• 5

Tags

CCSS.HSF-IF.C.8B

Give the rate of decay:
y = 35(0.65)^x

• 35%

• 65%

• .35%

• 165%

Tags

CCSS.HSF-IF.C.8B