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P=47.4(G-174.5) The profit, P, in dollars, to an amusement park serving G guests over one day is given by the equation. What is the minimum number of guests that need to be served in order to make a positive profit? Choose 1 answer: (A) 48 (B) 174 (c) 175 (D) 8,272

P=47.4(G−174.5) P=47.4(G-174.5) \newlineThe profit, P P , in dollars, to an amusement park serving G G guests over one day is given by the equation. What is the minimum number of guests that need to be served in order to make a positive profit?\newlineChoose 11 answer:\newline(A) 4848\newline(B) 174 \mathbf{1 7 4} \newline(C) 175 \mathbf{1 7 5} \newline(D) 88,272272

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Q. P=47.4(G−174.5) P=47.4(G-174.5) \newlineThe profit, P P , in dollars, to an amusement park serving G G guests over one day is given by the equation. What is the minimum number of guests that need to be served in order to make a positive profit?\newlineChoose 11 answer:\newline(A) 4848\newline(B) 174 \mathbf{1 7 4} \newline(C) 175 \mathbf{1 7 5} \newline(D) 88,272272
  1. Setting up the inequality: To find the minimum number of guests needed to make a positive profit, we need to set the profit PP to be greater than zero and solve for GG.\newlineThe equation given is P=47.4(G−174.5)P = 47.4(G - 174.5).\newlineWe want to find the smallest integer value of GG for which P > 0.
  2. Isolating G: First, we set up the inequality to find when the profit is positive:\newline0 < 47.4(G - 174.5).
  3. Solving for G: Next, we divide both sides of the inequality by 47.447.4 to isolate GG:\newline0 < G - 174.5.
  4. Rounding up to the next whole number: Now, we add 174.5174.5 to both sides of the inequality to solve for GG:\newline174.5 < G.
  5. Minimum number of guests needed: Since GG represents the number of guests, and it must be a whole number, we round up to the next whole number to ensure a positive profit. Therefore, the minimum number of guests needed is 175175.

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