Lesson 32 Assignment - Exponential Equations

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990? 

• 0 people

• It doesn't say

• I don't know

• 6191

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor (the multiplier)?

• ^.08

• ^1.08

• .92

• 8

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?

• 14,000 employees

• 12,386 employees

• 40,360 employees

• 15,748 employees

1. The population of a school of fish decreases at a rate of 18% per month. There are currently 500 fish in the school. How many fish will there be in 3 months?

• 276

• 0

• 822

• 476

1. The population of a school of fish decreases at a rate of 18% per month. There are currently 500 fish in the school. How many fish will there be in 2 years?

• 26,555

• 18

• 336

• 4

The amount of money in Carmen’s savings account is represented by the equation $A\left(t\right)=3500\left(1.025\right)^t$ where t represents years.  How much did Carmen originally deposit?

• $1.025

• $3,500

• 25%

• 1.025%

• You can't tell from the equation.

The amount of money in Carmen’s savings account is represented by the equation $A\left(t\right)=3500\left(1.025\right)^t$ where t represents years.  How much will Carmen have in the account after 10 years?

• $4,480.30

• $4,480.29

• $4,592.30

• You can't tell from the equation.

The bear population of a park increases at a rate of 2% per year. If there are 1579 bears in the park this year. How many bears will there be in the park after 10 years?

• 15,474 bears

• 1,291 bears

• 1,290 bears

• 1925 bears

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

• $5,884.00

• $5,178.97

• $2,992.96

• $2,957.04