Linear vs Exponential Models

Identify the following equation as a linear growth model or an exponential growth model:

y = 3^x

• linear growth model

• exponential growth model

Identify the following equation as a linear growth model or an exponential growth model:

y = 5(4x - 7)

• exponential growth model

• linear growth model

Which best describes the rate of increase in a linear growth model?

• a percent increase of the original amount over time

• a constant rate of change

Identify the following equation as a linear growth model or an exponential growth model:

y = 10 ( 1.2 ) ^x

• linear growth model

• exponential growth model

A(n) _________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

• Linear

• Quadratic

• Exponential

• None of the above

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• linear

• quadratic

• exponential

• none of the above

True OR False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above