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A freight train is carrying goods across the country. The distance it has traveled directly with the number of gallons of fuel it has used. See the graph below

A Freight Train Is Carrying Goods Across The Country The Distance It Has Traveled Directly With The Number Of Gallons Of Fuel It Has Used See The Graph Below class=
A Freight Train Is Carrying Goods Across The Country The Distance It Has Traveled Directly With The Number Of Gallons Of Fuel It Has Used See The Graph Below class=

Sagot :

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1) To find how many miles per gallon that freight train makes is to find a rate. We can find it in two ways, either by setting a proportion or by finding the slope.

2) Note that this direct variation depicted by the graph is proportional. Therefore, let's find the slope by picking two points:

[tex]\begin{gathered} (200,50),(400,100) \\ \\ m=\frac{y_2-y_1}{x_2-x_1}=\frac{100-50}{400-200}=\frac{50}{200}=\frac{1}{4} \end{gathered}[/tex]

3) Thus, the answers are:

View image FrantzR102926
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