Exponential Functions Predictions

The exponential function modeled represents the number of square kilometers of land occupied by a lizard, x years after the lizard was first introduced into the area. Based on the data shown, which measurement is closest to the number of square kilometers of land that will be occupied by this lizard 40 years after the lizard was first introduced into this area?

• 550,000 km²

• 1,250,000 km²

• 600,000 km²

• 800,000 km²

Which equation is the best model for the table of values shown above?

• 225

• 195

• 300

• 150

Which equation is the best function for the table of values show above?

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• 
• 
• 

• A

• B

• C

• D

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?