The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
(1 point)
Responses
y=112x
y equals Start Fraction 1 over 12 End Fraction x
y=36x
y equals 36 x
y=12x
y equals 12 x
y=2x
The correct answer is: y = (1/12)x.
This is because the proportional relationship between inches and feet is that there are 12 inches in a foot. So, if x represents the number of feet, then there would be 12x inches. This can be written as y = 12x, where y is the number of inches.
However, the line goes through the origin (0,0) which means that when x and y are both 0, the line should also be 0. Therefore, we divide both sides by 12 to get y = (1/12)x, which represents the proportional relationship and goes through the origin.