Question

The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.

Answer 1

This shows that the profit for 12 sales is 400

Explanation:

If both graphs intersects then;

p = p

400 = 50s - 200

50s = 400+200

50s = 600

s = 600/50

s = 12

Substitute s =12 into p = 50s-200

p = 50(12) - 200

p = 600-200

p = 400

Hence the intersection (s, p) is (12, 400)

This shows that the profit for 12 sales is 400