Analyzing Exponential Functions

What is the growth or decay rate of y=7(0.97)^x?

• Growth rate of 97%

• Decay rate of 97%

• Growth rate of 3%

• Decay rate of 3%

What is the growth or decay rate of y=10,000*(1.77)^x ?

• Growth rate of 77%

• Decay rate of 77%

• Decay rate of 23%

• Growth rate of 23%

Suppose a culture of bacteria begins with 3500 cells and dies by half each year. Write an equation that represents this situation.

• y=3500(0.50)^x

• y=3500(1.5)^x

• y=3500(2)^x

• y=3500(1.05)^x

The value of a house each year can be modeled by the equation y=26,000(1.92)^x. Which statement is true?

• The value of the house decreases at a rate of 92% each year.

• The purchase price of the house is $26,000.

• The value of the house increases at a rate of 192% each year.

• The value of the house after one year is $26,000.

A biologist studying turtles created a function to model their population growth from 1995, p(t) = 5(1.25)^t where, t = is the number of years past 1995 and p(t) = population of turtles. What does the 5 represent?

• The number of years the turtle population increases

• Number of turtles in 1995

• The Growth Factor or the ratio

• The number of turtles present today

A biologist studying mountain lions created a function to model their population decay since 2015, p(t) = 55(.86)^t where, t = is the number of years past 1990 and

p(t) = population of mountain lions. What does the .86 represent?

• Number of mountain lions in 2015

• The number of years since 2015

• The .14 decay rate of mountain lions

• The 86% decrease in the mountain lions

Henry tracked the daily attendance at the zoo for a year. The attendance can be modeled by the equation y=175(1.025)^x. Which statement is true?

• The attendance has been increasing at a rate of 25% each month

• 175 people attend the zoo each day

• The attendance has been increasing at a rate of 2.5% each month

• 175 people attend the zoo each year

Which of the following functions shows an initial amount of $35 and an increase of 15% each year?

• y = 15(35)^x

• y = 35(.15)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

The value of a car is $38,000 and depreciates at a rate of 10% per year. What is the decay factor?

• 38000(1.01)^x

• 38000(9)^x

• 38000(.9)^x

• 38000(1.9)^x

The number of flies at the beginning of the summer was 6,200. The population of flies is expected to grow at a rate of 15% a month. Which equation can be used to determine how many mosquitoes will be present at the end of each month?

• 6200(.15)^x

• 6200(.85)^x

• 6200(1.15)^x

• 6200(1.85)^x