## Calculus 8th Edition

(a) $d = 48t$ (b) See image for graph (c) The slope of this line represents the constant speed at which Jason travelled.
(a) To express distance travelled as a function of time elapsed, we multiply speed with time to get distance, or: $d = vt$ Where $v$ is speed. Rearranging the equation and inputting values from the problem gives: $v = \frac{d}{t}$ $v = \frac{40}{50/60}$ (where 50/60 is the fraction of an hour it took to travel) $v = 48$ mph Inputting this value in the original equation gives: $d = 48t$ (b) Graph a linear function with $m=48$ and $b=0$ by plotting two points and joining them. (c) The slope represents the constant speed at which Jason travelled, as shown in the explanation for (a). It is a constant speed and not simply an average speed since it is stated explicitly in the question that it was constant.