Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?

Accepted Solution

Answer:[tex]y=28.5x[/tex]Step-by-step explanation:we know thatA relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]In this problemLetx------> the number of gallonsy------> the number of milesthe relationship between the number of miles and the gallons of gas represent a linear direct variationThe constant of proportionality k is equal to the slope m[tex]m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}[/tex]thereforethe equation of the linear equation[tex]y=28.5x[/tex]