Exponential Word Problems

Does the following equation model growth or decay?

y = 500(.30)^x + 7

• Growth by 30%

• Growth by 70%

• Decay by 30%

• Decay by 70%

Tags

CCSS.HSF-IF.C.8B

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

• y = 7650(1 + 0.14)³

• y = 7650(1 - 0.14)³

• y = 7650e^(0.14)(3)

• y = 7650 (1 + 0.14/12)^(12)(3)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

What is the percent (%) of increaase or decrease in the following equation?

f(x) = 250 (0.95)^x

• Decrease by 95%

• Increase by 5%

• Decrease by 5%

• Increase by 95%

Tags

CCSS.HSF-IF.C.8B

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?

• $36,1223

• $31,500

• $15,000

• $28,500

Tags

CCSS.HSF.BF.A.2

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 19 to 20 hours
• 10 to 20 hours
• 15 to 16 hours
• 5 to 6 hours

Tags

CCSS.HSF.LE.A.4

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• f(x) = 200,000(1 + 0.018)³

• f(x) = 200,000(1 - 0.018)³

• f(x) = 200,000(1 - 0.18)³

• f(x) = 200,000(1 + 0.18)³

Tags

CCSS.HSF.LE.A.2

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Tags

CCSS.HSF-LE.A.1C

The compound interest formula is:
A = P(1 + r)^t

What does the A represent?

• The amount of interest earned.
• The amount of time that has passed.
• The total amount of money after a certain amount of time.
• The amount required to invest.

Tags

CCSS.HSF-IF.C.8B