Exponential Applications

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?

• .96

• 1.4

• 1.04

• $3000

Identify the percent (%) increase or decrease for the following function. f(x) = 35 (1 – 0.06)x

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

What is the percent (%) of increase or decrease in the following function?

f(x) = 3000 (1 + 0.4)^x

• Decrease by 4%

• Increase by 4%

• Increase by 40%

• Decrease by 40%

Identify the percent (%) increase or decrease for the function below: f(x) = 3000 (1.17)^x

• Increase by 0.17%

• Increase by 17%

• Decrease by 17%

• Decrease by 0.17%

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

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29

• $2,900,000,000

• $46,704.79

• $145,000

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71