The monthly cost of driving a car depends on the number ofmiles driven. Lynn found that in May it cost her \ 380$todrive480miandinJuneitcosther$\$460$ to drive 800 $\mathrm{mi}$ .$\begin{array}{l}\text{ (a) Express the monthly cost }C\text{ as a function of the distance }\\ \text{ driven }d,\text{ assuming that a linear relationship gives a suitable }\\ \text{ model. }\\ \text{ (b) Use part (a) to predict the cost of driving }1500\text{ miles per }\\ \text{ month. }\\ \text{ (c) Draw the graph of the linear function. What does the slope }\\ \text{ represent? }\end{array}$\begin{array}{l}{\text { (d) What does the } C \text { intercept represent? }} \\ {\text { (e) Why does a linear function give a suitable model in this }} \\ {\text { situation? }}\end{array}$

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