Modeling with Exponential Function

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• Exponential Decay; $y=62\left(1.75\right)^x$

• Exponential Decay; $y=62\left(1.34\right)^x$

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• Exponential Decay; $y=2200\left(3.39\right)^x$

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• The y-intercept, $14,585, represents the value of the car when Carla purchased it in 2011.

• The y-intercept, $20,480, represents the value of the car when Carla purchased it in 2009.
  

• The y-intercept, $29,870, represents the value of the car when Carla purchased it in 2007.
  

Calculate the average RATIO between successive y-values.

• ratio= 1.2

• ratio= 2.5

• ratio= 4.6

A child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?

• A(x) = 2(0.01)^x

• A(x) = 0.01(2)^x

• A(x) = 0.01(1 - 2)^x

• A(x) = 2(1.01)^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

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x

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