Question

After crossing a bridge, John drives at a constant speed. The graph below shows the distance (in miles) versus the time since he crossed the bridge (in hours).Use the graph to answer the questions.(a)What is the slope of the line?(b)How much does the distance increase for each hour since John crossed the bridge?miles

Answer 1

The slope of a line passing through the points

Notice that the line passes through the points (0,0) and (7,350)

The slope of a line is calculated using:

`m=(y_2-y_1)/(x_2-x_1)`

Hence the slope is:

`\begin{gathered} m=(350-0)/(7-0) \\ m=(350)/(7) \\ m=50 \end{gathered}`

Therefore the slope is 50 miles/hour

Therefore for each hour the distance increases 50 miles