A landscaping company sells bags that hold up to 2.3 cubic feet (ft^(3)) of mulch. The company guarantees that there is at least 2ft^(3) of mulch inside each bag. Which of the following functions gives the nonnegative difference between the maximum and minimum mulch volumes, in cubic feet, that could be contained in b bags purchased from the landscaping company? Choose 1 answer: (A) f(b)=0.3 b (B) f(b)=2b (c) f(b)=2.3 b (D) f(b)=4.3 b

Question

A landscaping company sells bags that hold up to 2.3 cubic feet  (ft^(3)) of mulch. The company guarantees that there is at least  2ft^(3) of mulch inside each bag. Which of the following functions gives the nonnegative difference between the maximum and minimum mulch volumes, in cubic feet, that could be contained in  b bags purchased from the landscaping company? Choose 1 answer: (A)  f(b)=0.3 b (B)  f(b)=2b (c)  f(b)=2.3 b (D)  f(b)=4.3 b

Bytelearn · Accepted Answer

Problem Understanding: Understand the problem. We need to find the function that represents the nonnegative difference between the maximum volume (2.3 cubic feet per bag) and the minimum guaranteed volume (2 cubic feet per bag) of mulch in b bags.Calculate Volume Difference: Calculate the difference in volume for one bag. The difference in volume for one bag is the maximum volume minus the minimum guaranteed volume. Difference = 2.3 ft^3 - 2 ft^3 = 0.3 ft^3Generalize for Multiple Bags: Generalize the difference for b bags. Since the difference per bag is 0.3 ft^3, for b bags, the total difference would be 0.3 ft^3 multiplied by the number of bags b. f(b) = 0.3 * bChoose Correct Function: Choose the correct function from the given options. The function that represents the nonnegative difference between the maximum and minimum volumes for b bags is f(b) = 0.3 b, which corresponds to option (A).

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