the price for the footballs is displayed in the graph (36) derive the equation of the proportional relationship through the origin

Answer 1

To find the equation of the proportional relationship through the origin, we need to determine the slope of the graph.

We can see from the graph that when the price of one football is $3, the quantity is 1.

Therefore, the slope can be calculated as:
slope = change in quantity / change in price = 1 / 3

Now we can write the equation of the proportional relationship through the origin as:
quantity = slope * price
quantity = 1/3 * price

Therefore, the equation of the proportional relationship through the origin is:
quantity = 1/3 * price