Question 1

The equatlon y =0.9x represents the distance Henry hikes in mlles over time in hours. The graph represents the rate that Clark hikes. Determine which hiker is faster. Complete the explanation.

Question 2

$\begin{gathered} \text{the straight line equations is given by: y = mx +b} \\ \text{where m is the slope and also represens the rate. This means that Henry rates is 0.9.} \\ \\ \text{Now, we ne}ed\text{ the slope from the Clark's graph in order to compare the rates. A good point for that is that the graphs pass} \\ \text{throght the point (5,6)} \end{gathered}$
$\begin{gathered} \text{pass throght the points (5,6) and (0,0), then the slope is} \\ m=(y_2-y_1)/(x_2-x_1)=(6-0)/(5-0)=(6)/(5) \\ m=1.2 \\ \text{where (x}_2,y_2)=(5,6)\text{ and (x}_1,y_1)=(0,0) \end{gathered}$
$\text{then, Henrys rate is 0.9 and Clarks rate is 1.2. Hence Clarks hikes faster}$

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