Exponential Word Problems

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

What is the initial value?

• $35,000

• 0.05

• 1.05

• 0.95

Tags

CCSS.HSF-LE.A.1C

Is this exponential growth or decay?
y = 7(1.2)^x

• Growth, because of 7
• Decay, because of 1.2
• Growth because of 1.2
• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• y = 70(2)³⁵
• y = 70(2)⁵
• y = 2(70)⁵
• y = 5(70)²

Tags

CCSS.HSF.BF.A.2

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

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223.09

• $15,000.00

• $31,500.29

• $280,500.86

Tags

CCSS.HSF-LE.A.1C

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

What will its approximate value be at the end of the 4th year?

• $33,250.00

• $30,008.13

• $28,507.72

• $27,082.33

Tags

CCSS.HSF.BF.A.2

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..... (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)

• $400.25

• $4467.25

• $3674.23

• $913.13

Tags

CCSS.HSF.BF.A.2

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

• 25,082

• 12,937

• 62,000

• 43,511

Tags

CCSS.HSF-LE.A.1C