To find the equation of the proportional relationship through the origin, we need to determine the slope of the line through the origin that best fits the data points on the graph.
Looking at the graph, we can see that as the number of footballs increases, the price also increases at a constant rate. This indicates that the relationship between the number of footballs and the price is proportional.
To find the slope of the line through the origin, we can select two points on the graph (0,0) and (8,24) since they are easiest to read on the graph.
Using the formula for slope (m):
m = (y2 - y1) / (x2 - x1)
m = (24 - 0) / (8 - 0)
m = 24 / 8
m = 3
Therefore, the equation of the proportional relationship through the origin is:
price = 3 * number of footballs
or
p = 3n
where p represents the price and n represents the number of footballs.
the price for footballs is displayed in the graph derive the equation of the proportional relationships through the origin
(1 point)
1 answer