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The graph shows the distances traveled by two buses.


The equation y = 55x represents the distance, y, Bus A travels in x hrs.


Which equation could represent the distance traveled by Bus B?


• y = 40x

• y = 60x

• y = 65x

• y = 70x

The graph shows the distances traveled by two buses. The equation y = 55x represents the distance, y, Bus A travels in x hrs. Which equation could represent the class=

Verified Answer :

rjnelson100

Because for any x value on the graph, the line for bus B lies below the line for bus A, the y-value must be smaller, which means we are multiply by a smaller coefficient. All of the options have coefficients greater than 55 except for y=40x. So, y=40x is the correct option.

Hope this helps!! :)

The equation that could represent the distance traveled by Bus B is;

Option A; y = 40x

We are given;

y = 55x represents the distance bus A travels in x hours.

We know that the equation of a line in slope intercept form is;

y = mx + c

where; m is slope and c is y-intercept.

In this question, y = 55x and as such slope m = 55 and c = 0.

  • Now, since we are not given the scale of the x and y - axis, the only way to solve this is to compare slopes.

  • In graphs, a higher slope means a bigger angle while a smaller slope indicates a smaller angle.

  • From the graph given, we see that the line representing bus A has a larger slope than that representing Bus B. Thus, Bus B will have a smaller slope.

Looking at the options given, the only one that has a slope less than 55 is the equation y = 40x.

Read more at; https://brainly.com/question/11471149

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