Exponential Equations Word Problems

A population of bees has an initial population of 10 bees and increases 15% every day. Which equations best represents the situation?

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CCSS.HSF.LE.A.2

Bacteria on old cheese starts out with 15 bacteria. Every hour the bacteria grew by 20%. Which equation below represents the situation for x hours.

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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=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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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 that models this situation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

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CCSS.HSF.LE.A.2

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

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CCSS.HSF.LE.A.2

The equation Q = 12e^{-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?}

• 4.5 years

• 12.7 years

• 2.7 years

• 15.4 years

If the population of a city is 50,000 and grows at a continuous rate of 3% per year, what will be the population after 5 years?

• 58,091

• 55,000

• 60,000

• 50,000

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

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AI.9.9.C

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

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CCSS.HSF.LE.A.2

A population of bees has an initial population of 10 bees and increases 15% every day. Which number represents the starting population (a)?

• a = 100

• a = 0.15

• a = 10

• a = 0.015

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CCSS.HSF-LE.A.1C