Question

Fred sold 14 rolls of wrapping paper for a band fundraiser earning the band $17.50. Sharon sold 16 rolls of wrapping paper and earned $20.00 for the band. If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis what is the slope of the graph in dollars per roll

Answer 1

Answer: 1.25 dollars per roll

Step-by-step explanation:

If  the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis

Then the two points on that line will be (14,17.50) and (16,20)

We know that the slope of a lien with points $(x_1,y_1)\ and\ (x_2,y_2)$ is give by:-

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Hence, the slope of the graph with points  (14,17.50) and (16,20) is given by :-

$Slope=\frac{20-17.50}{16-14}=\frac{2.50}{2}=1.25$

Therefore, the slope of the graph = 1.25 dollars per roll.