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Every summer, Hazelton has a music festival in the town square. The profit, in dollars, made from selling xx tickets is given by the function f(x)f(x). \newlineWhat does f(200)=1,000f(200) = 1,000 tell you?\newlineChoices:\newline(A)Hazelton can make $1,000\$1,000 in profit by selling 200200 tickets.\newline(B)Hazelton can make $200\$200 in profit by selling 1,0001,000 tickets.

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Q. Every summer, Hazelton has a music festival in the town square. The profit, in dollars, made from selling xx tickets is given by the function f(x)f(x). \newlineWhat does f(200)=1,000f(200) = 1,000 tell you?\newlineChoices:\newline(A)Hazelton can make $1,000\$1,000 in profit by selling 200200 tickets.\newline(B)Hazelton can make $200\$200 in profit by selling 1,0001,000 tickets.
  1. Given Function Information: We are given the function f(x)f(x) represents the profit made from selling xx tickets. The function value f(200)=1,000f(200) = 1,000 means that when 200200 tickets are sold, the profit is $1,000\$1,000.
  2. Interpreting Function Value: To interpret this information correctly, we need to match the number of tickets sold with the profit made. The function value f(200)=1,000f(200) = 1,000 directly tells us that for 200200 tickets sold, the profit is $1,000\$1,000.
  3. Analyzing Choices: Now, we look at the choices given to determine which one correctly describes the situation based on the function value f(200)=1,000f(200) = 1,000.\newlineChoice (A) states that Hazelton can make $1,000\$1,000 in profit by selling 200200 tickets.\newlineChoice (B) states that Hazelton can make $200\$200 in profit by selling 1,0001,000 tickets.
  4. Correct Choice Explanation: Choice (A) directly matches the information given by the function value f(200)=1,000f(200) = 1,000, which means that when 200200 tickets are sold, the profit is indeed $1,000\$1,000. Choice (B) is incorrect because it reverses the number of tickets sold and the profit, which does not match the function value provided.

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