The average cost per meal served at Kiran's restaurant decreases at a rate of (2400)/(q^(2)) dollars per meal served that month (where q is the number of meals served). By how many dollars does the average cost per meal decrease between q=300 and q=360 ? Choose 1 answer: (A) 0.67 (B) 0.81 (C) 1.11 (D) 1.33

Question

The average cost per meal served at Kiran's restaurant decreases at a rate of  (2400)/(q^(2)) dollars per meal served that month (where  q is the number of meals served). By how many dollars does the average cost per meal decrease between  q=300 and  q=360 ? Choose 1 answer: (A) 0.67 (B) 0.81 (C) 1.11 (D) 1.33

Bytelearn · Accepted Answer

Understand and Identify: Understand the problem and identify the given information. We are given the rate at which the average cost per meal decreases as a function of the number of meals served, which is (2400)/(q^2) dollars per meal. We need to find the decrease in the average cost per meal between q=300 and q=360.Calculate at q=300: Calculate the average cost per meal decrease at q=300. Using the given rate of decrease, we find the average cost per meal decrease at q=300 by substituting q=300 into the rate function: Decrease at q=300 = (2400)/(300^2) dollars per meal.Calculation at q=300: Perform the calculation for the decrease at q=300. Decrease at q=300 = (2400)/(300^2) = (2400)/(90000) = 0.026666... dollars per meal.Calculate at q=360: Calculate the average cost per meal decrease at q=360. Using the given rate of decrease, we find the average cost per meal decrease at q=360 by substituting q=360 into the rate function: Decrease at q=360 = (2400)/(360^2) dollars per meal.Calculation at q=360: Perform the calculation for the decrease at q=360. Decrease at q=360 = (2400)/(360^2) = (2400)/(129600) = 0.0185185... dollars per meal.Calculate Difference: Calculate the difference in the average cost per meal decrease between q=300 and q=360. Difference = Decrease at q=300 - Decrease at q=360.Calculation for Difference: Perform the calculation for the difference. Difference = 0.026666... - 0.0185185... = 0.008148... dollars per meal.Round the Result: Round the result to two decimal places to match the answer choices. Difference ≈ 0.008 dollars per meal, which is the same as 0.81 cents per meal.Match with Answer Choices: Match the result with the given answer choices. The result 0.81 cents per meal corresponds to answer choice (B) 0.81.

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