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OpenStax, Algebra and Trigonometry 2e §4.2 Modeling with Linear Functions · Exercise 1 · Algebra · Graphs

Modeling with Linear Functions · Exercise 1

Graph and interpret applications of slope–intercept form of a linear function.

Janis is planning to rent a car while on vacation. The equation C(m)=.25m+10 models the relationship between the cost in dollars, C, per day and the number of miles,m, she drives in one day.
ⓐ Find the cost if Janis drives the car 20 miles one day.
ⓑ Find the cost on a day when Janis drives the car 400 miles.
ⓒ Interpret the slope and y-intercept (or C intercept) of the equation in terms of the variables and units used in this problem.
ⓓ Graph the linear function below. Be sure to show the scale you are using on your coordinate system.

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OpenStax, Algebra and Trigonometry 2e · §4.2 Modeling with Linear Functions · Exercise 1

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