Question

sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.

Answer 1

9514 1404 393

Answer:

600, 1400, 3000, and 5000

Explanation:

The profit equation can be simplified.

P = 350n -(150n +1000)

P = 200n -1000 . . . . . . . . . collect terms

P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.