Question

Please help with math !!!
Interpreting direct variation from a graph

Answer 1

The graph of the direct variation passes through the origin

• The revolution per foot of travel is 0.2
• The slope of the graph is 5

The revolution per foot of travel

From the graph, we have the following points

(x.y) = (0,0) and (2,10)

Where:

x represents the number of revolutions

y represents the distance in feet

The revolution per foot of travel (r) is then calculated as:

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

This gives

$r = \frac{2 - 0}{10 - 0}$

$r = 0.2$

This means that, the revolution per foot of travel is 0.2

The slope of the graph

This is the reciprocal of the revolution per foot of travel

In (a), we have:

$r = 0.2$

So, the slope is:

$Slope = \frac 1{0.2}$

$Slope = 5$

Hence, the slope of the graph is 5

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