Exponential Growth & Decay

What is the formula for exponential growth?

• $y=a\left(1+r\right)^t$

• $y=a\left(1-r\right)^t$

Tags

CCSS.HSF-IF.C.8B

What is the formula for exponential decay?

• $y=a\left(1+r\right)^t$

• $y=a\left(1-r\right)^t$

Tags

CCSS.HSF-IF.C.8B

Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.

• $855,355.66

• $6,851,877.76

• $488,440.86

• $18,195.84

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponential function to find the population of the town after 5 years.

• 2969 people

• 2210 people

• 2092 people

• 290 people

Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Use an exponential function to find its approximate value after 8 years.

• $34,863.28

• $23,219.72

• $51,710.94

• $136.72

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

• 956 students

• 4128 students

• 667 students

• 907 students

Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car is $21,000. Use an exponential function to find the value of the car after 3 years.

• $12,496.51

• $14,310.91

• $20,234.89

• $20,253.04

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

• 65 sea otters

• 75 sea otters

• 105 sea otters

• 135 sea otters

A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.

• 493 fish

• 4,308 fish

• 6,326 fish

• 7,532 fish

Tags

CCSS.HSF-LE.A.1C

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.

• $217,357.75

• $424,527.63

• $304,737.68

• $176,783.29