Question

Use the image to answer the 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 GPT 3.5]

The equation of the proportional relationship through the origin can be found using the formula y = mx, where x represents the quantity and y represents the cost.

Looking at the graph, we can see that the slope of the line is 9, which represents the cost of 1 football. Therefore, the equation of the proportional relationship can be written as:

Cost = 9 * Quantity

or

Cost = 9x