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January 28, 2015

January 28, 2015

Posted by **Syed** on Sunday, February 7, 2010 at 9:18am.

a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.

b) Use part (a) to predict the cost of driving 1500 miles per month.

c) Draw the graph of the linear function. What does the slope represent?

d) What does the y-intercept represent?

e) Why does a linear function give a suitable model in this situation?

- Calculus 1 -
**Reiny**, Sunday, February 7, 2010 at 10:15amI assume you know how to handle equations of a straight line of the form y = mx + b if you are given two ordered pairs of the form (x,y)

So interpret your data as two ordered pairs of the form (m,c), m for miles c for cost.

so you would have (480,380) and (800,460)

so proceed by finding the slope etc

just like you would for the more familiar points.

the rest of the questions are of a type very common for the y = mx + b notation.

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