Quiz Review - Exponential Applications

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

f(x) = 35 (0.94)^x

• Increase by 6%

• Decrease by 0.6%

• Increase by 94%

• Decrease by 6%

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

f(x) = 3000 (1.4)^x

• Decrease by 4%

• Increase by 4%

• Increase by 40%

• Decrease by 40%

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%

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

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

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

The amount of ants in a colony, f, that is decaying can be modeled by y= 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

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

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

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

• $10

• $300

• $162

• $486