Module 9 Exponential Functions - Review

A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

• y=4(4)^x

• y=4(2.68)^x

• y=4(1+1.67)^x

• y=4(1.67)^x

Determine whether the sequence is arithmetic, geometric, or neither.

960, 240, 60, 15, ...

• Arithmetic

• Geometric

• Neither

A pool containing 5000 gallons of water is losing 8% of its water every hour. Let t be the number of hours, and y be the number of gallons of water remaining. Write an exponential function showing the relationship between y and t.

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

Write a recursive formula for the sequence.

7, 21, 63, 189, ...

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this? 

• Linear 
• Exponential 
• Neither 

Does the graph represent growth, decay, linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the table linear, exponential, or neither?

• Linear

• Exponential

• Neither