Question

A line passes through the origin and the point (8, 4). The x-axis represents time in minutes, and the y-axis represents gallons. What rate does the slope represent? A. 12 gallons per minute B. 0.5 minutes per gallon C. 2 minutes per gallon D. 0.5 gallons per minute

Answer 1

You know two points on the line:

(0 minutes, 0 gallons) and (8 minutes, 4 gallons) .

The slope of the line is

(4 gallons - 0 gallons) / (8 minutes - 0 minutes) =

(4 gallons) / (8 minutes) =

(4 / 8) (gallons / minutes) =

1/2 gallons/minute .