Exponential Growth and Decay Word Problems

The depth of a lake is described by the function y = 334(0.976)^x , where x represents the number of weeks from today. Today, the depth of the lake is 334 ft. What will the depth be in 6 weeks? Round to the nearest tenth of a foot.

• 289 ft

• 290 ft

• 288.7 ft

• 288.6 ft

The function y = 27(2/3)^x gives the height in feet of each bounce of a golf ball where x is the bounce number. What will be the height of the 3rd bounce?

• 27 feet

• 18 feet

• 12 feet

• 8 feet

A sculpture is increasing in value at a rate of 8% per year. Its value in the year 2000 was $1200. What will be its value in the year 2025?

• $8,218.17

• $4,533.47

• $32,400

• $2,890,639,105

Suppose a new car currently costs $18,000 and that the cost increases 5% each year. Determine the cost of the new car in 7 years.

• $25,328.81

• $12,570.07

• $25,327.81

• $24,121.72

The population of a city of 450,000 increases 2.5% per year. Determine what the population of the city would be in 10 years.

• 4,190,951.59

• 4,190,952

• 576,038.04

• 576,038

The population of another city decreases 1.5% per year. In the year 2010, the population was 120,000. What will the population be in the year 2050?

• 32,143,626

• 65,559

• 217,682

• 180

Suppose the acreage of forest is decreasing by 2% each year because of development. IF there are currently 4,500,000 acres of forest, determine the amount of forest land after 5 years.

• 11,197,440

• 4,968,363.6

• 406,764.4

• 4,067,643.6

Equipment valued at $25,000 decreases in value by 12% each year. What is the equipment worth after 3 years?

• $17,036.8

• $17,036.80

• $35,123.2

• $35,123.20

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will be the cost in 4 years?

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x