Question

For the equation y = 3.5x and y= 25x + 40.50, x represent time in hours and y represents cost in dollars. Which equation is not the equation of a proportional relationship? Explain.

Answer 1

We are given equations y =3.5x and y=25x +40.50.

Where x represent time in hours and y represents cost in dollars.

We need to determine that which equation is not the equation of a proportional relationship?

In first equation we have slope 3.5 and y-intercept 0.

In second equation, we have slope 25 and y-intercept 40.50.

In order to have a a proportional relationship, there should be y-intercept =0.

Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.