Question

The following graph represents the profit of a carwash in a day P(x), based on the price, x, the business charges for each service.If the carwash wants to make a profit of about $1000 to pay their bills, howmuch do they need to charge per service? Choose the best answer from thechoices provided. What price should the carwash charge in order to make the most profit?

Answer 1

• (a)$6.30

,

• (b)$9.50

Step-by-step explanation:

Part A

If the carwash wants to make a profit of about $1000 to pay their bills, from the graph, they need to charge just a little above $6.

The closest is $6.30

Note that you also get a value close to $13.00 but increasing the price above the value of x at maximum is not a good choice.

Part B

The maximum point of the graph is at (9.5, 1102.5).

Thus, in order to make the most profit, the carwash should charge $9.50 per service.