Application of Exponential Functions

James has 70 inches giant peach tree that doubles in size every month. Write a function that models how big the peach tree will be after 2 years.

• y = 70(2)²⁴

• y = 70(2)¹²

• y = 2(70)²

• 70 = a (2)¹²

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How long will it take for the printer's value to be under $20,000?

• 1 year

• 11 years

• 10 years

• 4 years

The equation y = a(1 - r)^x is used for:

• 1/2 life

• Interest

• Exponential Growth

• Exponential Decay

The equation y = a(1 + r)^x is used for:

• Exponential Growth

• Exponential Decay

• Half Life

• Interest

The equation A = Pe^rt is used for:

• Half Life

• Interest Compounded Continuously

• Interest Compounded Monthly

• Exponential Decay

If something is growing at a rate of 2% per year, r in the growth formula is:

• .2

• 2

• .02

• 200

Given the equation y = 12(1 + .2)⁵

• 12 represents the initial amount.

• 5 represents the initial amount.

• .2 represents the initial amount.

• y represents the initial amount.

$1000 is invested in a bank account with 1% interest compounded weekly. The amount in the bank account after 8 years should be

• $1000

• more than $1000

• less than $1000

• This is not important.

Find the balance in an account that has $300 invested at 6.5% for 4 years compounded semi-annually.

• $387.47

• $496.50

• $7,800.00

• $385.94

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

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