Question

An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.

The price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.

(1 point)

Answer 1

[AI-generated answer — Bot]

To find the equation of the proportional relationship through the origin, we can use the slope-intercept formula: y = mx, where m is the slope of the line and x and y are the variables on the horizontal and vertical axes, respectively.

From the graph, we can see that for every 1 increment in x (quantity of footballs), the cost (y) increases by 9. This means the slope of the line is 9/1 or simply 9.

Therefore, the equation of the proportional relationship through the origin is y = 9x.