Modeling Functions

Which Table best represents a exponential relationship?

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Which Table best represents a linear relationship?

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Which graph comparing time and dollars would be best represented by an exponential function?

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Mr. Elia picks pears at Ms. Boyle's orchard on Saturdays during the pear harvest. Ms. Boyle pays him a daily wage, plus an additional amount for each bushel of pears he picks. The table show his daily earnings, y, if he picks x bushels of pears. Write a linear function that models this situation.

• y = mx + b

• y = 8x + 29

• y = 29x + 8

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Does the graph above represent a function? Explain how you know.

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Is this mapping a function or not a function? 

• Function

• Not a Function

Valerie's Gym is running a special for new members. The fee for joining the gym is $30. Members then pay $20 per month to use the gym. Identify the initial value and the rate of change of the function.

• Initial Value is $20. The rate of change is $30.

• Initial Value is $30. The rate of change is $20.

• The rate of change and initial value are $30.

• The rate of change and initial value are $20.

A mechanic charges a fee of $40 to diagnose a problem, and $70 per hour for labor to fix it. Write an equation in slope intercept form to represent this situation.

• y = mx + b

• y = 70x + 40

• y = 40x + 70

Mr. Elia picks pears at Ms. Boyle's orchard on Saturdays during the pear harvest. Ms. Boyle pays him a daily wage, plus an additional amount for each bushel of pears he picks. The table show his daily earnings, y, if he picks x bushels of pears. What is the rate of change?

• 10

• 5

• 8