Exponential Applications

Identify the percent (%) increase or decrease for the following function.

y= 35 (0.94)^x

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.6

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Identify the percent (%) increase or decrease for the function below:

y= 3000 (1.17)^x

• Increase by 0.17%

• Increase by 17%

• Decrease by 17%

• Decrease by 0.17%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

• y=350(0.06)^x

• y=0.06(350)^x

• y=350(0.94)^x

• y=350(1.06)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

• y= 18,500 (1.16)^x

• y= 0.16 (18,500)^x

• y= 18,500 (0.84)^x

• y= 0.84 (18,500)^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.  What is the growth ratio for this problem?

• 1.29
• .71
• .29
• 1.71

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?

• 102.2 people
• 720,500 people
• 1.022 people
• 1022 people

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

A sweater is $43. It is on sale for 20% off. What is the final price?

• $47
• $34.40
• $23
• $8.60

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1