Modeling Exponential and Logarithmic Functions

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.

Tags

CCSS.HSF.LE.A.2

The function f(x) = 800(1.02)^x models money in a savings account. What is the initial amount of money?

• $800

• $1.02

• $816

• $16

Tags

CCSS.HSF.LE.B.5

The function f(x) = 800(1.02)^x models money in a savings account. Does this represent growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

The rabbit population started at 65,000 rabbits. The population is decreasing at a rate of 1.5% each year. Write a function r(t) to represent the rabbit population after t years.

• r(t) = 65000(1 - 0.015)^t

• r(t) = 65000(1 + 0.015)^t

• r(t) = 65000(1 - 1.5)^t

• r(t) = 65000(1 + 1.5)^t

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How long will it take the mosquito population to double?

• 3.1 months

• 1.3 months

• 6.2 months

• 7 months

Tags

CCSS.HSF.LE.A.4

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How long will it take until the attendance surpasses 1000 people?

• 3 months

• 47 months

• 15 months

• 5 months

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y =5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years. What is the y-intercept of this equation and what does it represent?

• 0.98, the percent of money in the account initially

• 0.98, the percent of money in the account after x years

• 5000, the amount of money in the account initially

• 5000, the amount of money in the account after x years

Tags

CCSS.HSF.LE.B.5

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.A.2

Which of the following equations represent exponential decay?

Tags

CCSS.HSF-IF.C.8B