The monthly cost of driving a car depends on the number of miles driven. Lynn fo

Question

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $496 to drive 480 mi and in June it cost her $548 to drive 740 mi. (a) Express the monthly cost C as a function of the distance driven, d, assuming that a linear relationship gives a suitable model. c(d) = $ (b) Use part (a) to predict the cost of driving 1100 miles per month. (c) Draw the graph of the linear function. (Do this on paper. Your teacher may ask you to turn in this work.) What does the slope represent? the distance (in miles) traveled the cost (in dollars) of driving the cost in dollars per mile the fixed cost (amount she pays even if she does not drive) (d) What does the y-intercept represent? the cost (in dollars) of driving the cost in dollars per mile the distance (in miles) traveled the fixed cost (amount she pays even if she does not drive) Show My Work (Required)

Explanation / Answer

Points are (480,496),(740,548)

Slope,m=(548-496)/(740-480)=52/260=1/5

using point slope form

C-496=(1/5)(d-480)

C=(1/5)d+400

b.C(1100)=(1/5)1100+400=$620

c.slope represents cost in dollar per mile.

And y intercept that is 400 represents the fixed cost.

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