Rate of Change Exponential

Based on this table, how would you describe the relationship between decks of trading cards and days?

• Exponential Decay

• Exponential Growth

• Linear Growth

• Linear Decay

What is the average rate of change of y = 2(3)^x at [2, 4]?

• 72

• 3

• 36.8

• 630

Solve: 

• A

• B

• C

• D

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

• f(x)=350(0.06)^x

• f(x)=0.06(350)^x

• f(x)=350(1 - 0.06)^x

• f(x)=350(1 + 0.06)^x

A certain college has been raising tuition every year since the year it opened. The function T = 12,000 (1.03)^x represents the tuition, T, after x years.

If the college opened in the year 1990, what would you predict the tuition will be in the year 2020?

• $29,127

• $2,020

• 30 years

• $39,144

Write the function for the info below. Initial Value: 25,000 Decay: Decrease by 5%

• f(x)=0.05(25,000)^x

• f(x) = 0.95(25,000)^x

• f(x) = 25,000 (0.95)^x

• f(x) = 25,000 (1.05)^x

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

• 100,144 people

• 1,083,024 people

• 1,044,856 people

• 200,000 people

A car bought for $13,000 depreciates at 15% per year. Use and exponential function to find the value of the car after 5 years.

• $3698.00

• $26,000

• $4020.00

• $5768.17

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 many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Find the rate of change

• 9

• -9

• -1/9

• 1/9