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

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

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by approximately 4% per year. What was the value of the land in the year 2000? Round to the nearest whole dollar.

• $81,084

• $605,035,808

• $750,000

• $7,346

What type of function does the equation y = 2^x represent?

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

Tags

CCSS.HSF-IF.C.8B

You deposit $500 into an account. If the account pays 6% and compounds quarterly, how much will the account be worth after 10 years? Round to the nearest whole dollar.

• $895

• $273

• $133,931

• $907

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

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-IF.C.8B

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

Is this exponential growth or decay?

• Growth
• Decay

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