Applications of Exponential

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

• f(x)= 18,500 (1 + 0.16)^x

• f(x)= 0.16 (18,500)^x

• f(x)= 18,500 (1 - 0.16)^x

• f(x)= 0.84 (18,500)^x

The Country of Puerto has 3,370,000 people in it and is decreasing at a rate of 4.5%. Estimate the population after 40 years.

• 534,275

• 19,601,148

• 1,350,756

• 2,521,541

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

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

A population of fish starts at 8,000 and increases by 6% per year.

Which exponential function can be used to find the fish population in 10 years?

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%

Classify the model as Exponential GROWTH or DECAY.

• Growth

• Decay

Classify the model as Exponential GROWTH or DECAY.

A=10\left(1.01\right)^x

• Growth

• Decay