The graph shows the distances traveled by two buses. he 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

y=40x

I've done the test and this was correct.

hope it helps :)

Answer-

The equation that could represent the distance traveled by Bus B is y = 40x

Solution-

On abscissa time in hour is represented and on ordinate distance in km is represented.

The equation for Bus A is given by,

Comparing it with the general slope-intercept equation of straight line,

Where,

m = slope = 55

c = y-intercept = 0

We know that slope is measured as the tangent of the angle made by the line with positive x-axis measured in counter-clockwise direction.

Slope for Bus A = m₂ = tan θ₂

Slope for Bus B = m₁ = tan θ₁

From the properties of trigonometric function,

From the given option, only the first option has a straight line equation with slope less than m₂ or 55, which is 40.

Therefore, the equation that could represent the distance traveled by Bus B  is y = 40x

i leave the calculator work to you.

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