Every summer, Hazelton has a music festival in the town square. The profit, in dollars, made from selling x tickets is given by the function f(x). What does f(200) = 1,000 tell you? Choices: (A)Hazelton can make $200 in profit by selling 1,000 tickets. (B)Hazelton can make $1,000 in profit by selling 200 tickets.

Question

Every summer, Hazelton has a music festival in the town square. The profit, in dollars, made from selling x tickets is given by the function f(x). What does f(200) = 1,000 tell you?   Choices: (A)Hazelton can make $200 in profit by selling 1,000 tickets. (B)Hazelton can make $1,000 in profit by selling 200 tickets.

Bytelearn · Accepted Answer

Given Profit Function Interpretation: We are given the profit function f(x) and the specific value f(200) = 1,000. We need to interpret what this means in the context of the music festival's ticket sales and profit.Profit Function Analysis: The function f(x) represents the profit made from selling x tickets. When we see f(200) = 1,000, this means that when 200 tickets are sold, the profit made is $1,000.Choices Evaluation: Now we look at the choices given to determine which one correctly describes the situation based on our interpretation of f(200) = 1,000.Choice (A) Rejection: Choice (A) suggests that selling 1,000 tickets will result in a $200 profit, which is the opposite of what f(200) = 1,000 indicates. Therefore, choice (A) is incorrect.Choice (B) Confirmation: Choice (B) states that selling 200 tickets will result in a $1,000 profit, which matches our interpretation of f(200) = 1,000. Therefore, choice (B) is correct.

Full solution

More problems from Solve quadratic equations: word problems

Related topics