Exponential Equation Word Problems

Luke invested $250 in an account that earns 3.5% annual interest compounded continuously. No other money is deposited or withdrawn, How long will it take for the account to earn $100 interest?

• 3.8 yr

• 9.6 yr

• 7.1 yr

• 5.9 yr

Tags

CCSS.HSF.LE.A.4

Anakin invested $300 in an account with interest compounded continuously. No other money was deposited or withdrawn. In 12 years the amount in the account was $500. What was the annual interest rate?

• 4.25%

• 3.15%

• 5.0%

• 2.8%

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?

• $344,022

• $15,000

• $31,500

• $28,500

Tags

CCSS.HSF.BF.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(0.35)^x

• y = 15(1.35)^x

• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

Tags

AI.9.9.C

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

y = ​ (a)   ( 1 ​ (b)   ​ (c)   )^x (^ means to power of x - x is the exponent)

• 400

• +

• 0.03

• 3

• 0.3

• 0.97

• 4

Tags

CCSS.HSF.LE.A.2

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

Write an exponential equation for the given scenario. Kendal bought a truck for $8,500. The value of the truck decreases at a rate of 11% per year.

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.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=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9765

• 9006

• 5433

• 9766

Tags

CCSS.HSF.BF.A.2