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<u>Answer-</u>
<em>The equation that could represent the distance traveled by Bus B is </em><em>y = 40x</em>
<u>Solution-</u>
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
