The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.

The table shows the amount of time a delivery truck has been driving and the distance traveled The total distance traveled is a direct variation of the number o class=

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The slope of the line represents that the a distance of 55 miles is covered each hour

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance in miles covered in x hours.

Using points (2, 110) and (7, 385) from the table:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]

Therefore the slope of the line represents that the a distance of 55 miles is covered each hour

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