Question

the pep club is going to sell bouquets of flowers during the homecoming game. they represent their revenue R and costs C with the following equations.
R = 5.50x C=250+1.25x x is the number of bouquets

what is the constant rate of cahnge for each relationship? What information does it represent in this context?

Answer 1

The constant rate of change in each relationship is the change in R or C versus a change in x. Then\[\frac{\Delta{R}}{\Delta{x}}=5.50\]and\[\frac{\Delta{C}}{\Delta{x}}=1.25\]If the change in bouquets is one unit, \[\Delta x=1\]and you have \[\Delta R = 5.50, \Delta C=1.25\]that is, for a positive unit change in bouquets sold, you have a 5.5 unit increase in revenue, and a 1.25 increase in cost.