Linear Function Models

Emerson has $120. Each week, he saves an additional $15. Write a function, f(x) to model the total amount of money Emerson has after x weeks. f(x) = _________________

Mathematical Equivalence

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A line has a zero slope and passes through the point (-5,4). What is the equation of the line?

Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5).

A rental car company charges $45 for the car as well as charging a one-time $25 fee for the car's navigation system (GPS). Write an equation for the cost in dollars, y, as a function of the number of days, x, the car as rented.

Which linear function has a greater slope?

• Function 1

• Function 2

• They have the same slope.

Which linear function lited has a negative slope?

• Function 1

• Function 2

• They both have a negative slope.

• Neither, both slopes are positive.

Which of the following are linear functions? Select all that apply.

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The graph shows Lee’s running speed during an hour-long workout. What total amount of time did Lee spend running at a constant speed?

• 10 minutes

• 20 minutes

• 40 minutes

• 50 minutes

How fast was the car traveling in miles per hour (mph) between 25 minutes and 40 minutes?

• speeds between 20 mph and 50 mph

• speeds between 35 mph and 0 mph

• a constant speed of 40 mph

• a constant speed of 50 mph

Which equation can be used to graph all the points on the line?