Please help I'm so stuck

Question

1. Express the revenue as a function of the price p.
2. Graph the revenue function. Make sure to label the x - and the y-axis with the appropriate units.

After analyzing the data from a survey, you concluded that you could sell 63 coffee mugs at a price of p=$1 per mug. If you charge $10.00, nobody will buy the coffee mugs (quantity sold Q=0). You also figured out that as your price per mug increases, your sales will be decreasing following straight line.

Answer 1

Given the following facts:

Two points (1, 63) and (0, 10)

It is a linear function.

Therefore using point slope form would be the best choice in solving.

(y - 63) = 53 (x - 1) distribute 13

y - 63 = 53x - 53 add 63 to both sides

y = 53x + 10

The equation is in slope intercept and just use the two points to graph the line.

Answer 2

(p, m)

(1, 63)

(10, 0)

Now use two-point form to devlope formula.

Us the coordinates to plot the graph.

Questions?