Exponential Word Problems

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

• $11,625

• $6,995

• $21,477

• $875

Tags

CCSS.HSF.BF.A.2

You buy a new computer for $2100. The computer decreases by 50% annually. What is the exponential equation that best describes this situation?

• $y=2100\left(.50\right)^t$

• $y=2100\left(1.5\right)^t$
  

• $y=.50\left(2100\right)^t$
  

• $y=1.5\left(2100\right)^t$
  

Tags

CCSS.HSF.LE.A.2

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the equation that best represents this situation?

• $y=20,000\left(1.12\right)^t$
  

• $y=20,000\left(.88\right)^t$

• $y=20,000\left(1.012\right)^t$
  

• $y=20,000\left(0.988\right)^t$
  

Tags

CCSS.HSF.LE.A.2

Does the following equation show growth or decay?
y=10,000*1.26^x

• Growth 
• Decay

Does the following equation show growth or decay?
y=10,000*(0.76)^x

• Growth 
• Decay

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=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

• 603

• 777

• 29

• 198

Tags

CCSS.HSF-LE.A.1C

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

• 34,170

• 16,348

• 7690

• 76,023

Tags

CCSS.HSF.BF.A.2

You deposit $500 into an account. If the account increases by 6% per year, how much will the account be worth after 10 years? Round to the nearest whole dollar.

• $895

• $133

• $273

• $907

Tags

CCSS.HSF-LE.A.1C

The original value of a sculpture is $1,560 and the value increases by 6.5% each year. Write an exponential growth function to model this situation.

• y=1560(1.065)^x

• y=1.065(1560)^x

• y=1560(.935)^x

• y=0.935(1560)^x

Tags

CCSS.HSF.LE.A.2