p(x)=(x-0.83)(500-100 x) The equation models p, the profit in dollars made by selling tacos at a price of x dollars each. According to the model, as the price of a taco increases, the number of tacos sold decreases. Which of the following statements is the best interpretation of the ordered pair (2,351) ? Choose 1 answer: (A) 351 tacos are sold at 2 dollars per taco. (B) The profit from selling each taco is 2 dollars, and 351 tacos are sold. (C) The profit from selling tacos at 2 dollars each is 351 dollars. (D) The total revenue from selling tacos at 2 dollars each is 351 dollars.

Question

p(x)=(x-0.83)(500-100 x) The equation models  p, the profit in dollars made by selling tacos at a price of  x dollars each. According to the model, as the price of a taco increases, the number of tacos sold decreases. Which of the following statements is the best interpretation of the ordered pair  (2,351) ? Choose 1 answer: (A) 351 tacos are sold at 2 dollars per taco. (B) The profit from selling each taco is 2 dollars, and 351 tacos are sold. (C) The profit from selling tacos at 2 dollars each is 351 dollars. (D) The total revenue from selling tacos at 2 dollars each is 351 dollars.

Bytelearn · Accepted Answer

Plug x=2: Plug x=2 into the profit function p(x) to verify the profit when the price per taco is $2. p(2) = (2 - 0.83)(500 - 100 * 2)Calculate profit: Calculate the profit using the given values. p(2) = (1.17)(500 - 200)Continue calculation: Continue the calculation. p(2) = (1.17)(300)Multiply for profit: Multiply to find the profit. p(2) = 351Interpret result: Interpret the result in the context of the problem. The ordered pair (2,351) means that the profit from selling tacos at $2 each is $351.

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