Question

Hours. 2 5 7 18. The table shows the amount of time a delivery touchas been oring and the distance teled. The total distance traveled is a direct vacation of the number of hours. Use the model below to find the side Distance (mi) - 110 205 slope

Answer 1

The slope is given by the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x1,y1) and (x2,y2) are two points on the line. Looking at the table we can choose the first two points, that is, (2,110) and (5,275), then the slope is:

$m=\frac{275-110}{5-2}=\frac{165}{3}$

This can be simplified, since 165 is a multiple of 3, then m=55.

Now that we have the slope, we can express the distance traveled y in terms of the hours x. Using the formula

$y=mx$

we have that:

$y=3x$