You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.

Question

You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.

The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why?

The coefficent of x is slope. I would slide down the least slope.

Thanks but which one would that be and why?

compare 2x and 3x. WHich is least slope, 2 or 3?

2,so is that the answer?the one that says:y=2x+7

Answer 1

Yes, that is correct. The equation of ramp 1, y = 2x + 7, has a slope of 2. The slope indicates how steep the ramp is. Since 2 is a smaller value than 3, the slope of ramp 1 is less steep than the slope of ramp 2, which is y = 3x + 7. Therefore, ramp 1 (y = 2x + 7) is the safer option to slide the cabinet down without losing control, because it has a gentler slope.