Exponential Word Problems

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

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CCSS.HSF.LE.A.2

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. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

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CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

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CCSS.HSF-BF.A.1A

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

• Growth 

• Decay

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CCSS.HSF-IF.C.8B

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

Tags

CCSS.HSF.LE.A.2

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005? What is the equation for this situation?

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CCSS.HSF.LE.A.2

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005?

• 85

• 264

• 263

• 95

Tags

CCSS.HSF.BF.A.2

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month, write a function that represents the number of rabbits after "m" months.

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CCSS.HSF.LE.A.2

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. How many rabbits are there in Lancaster on August 1st?

• 1 million

• 2413

• 3000

• 364,500

Tags

CCSS.HSF.BF.A.2

The value of an early American coin increases in value at the rate of 6.5% annually. If the purchase price of the coin this year is $1,950, what is the value to the nearest dollar in 15 years? Write an equation for this situation.

Tags

CCSS.HSF.LE.A.2