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

Identify volumes per bag: Identify the maximum and minimum volumes of mulch per bag. The maximum volume per bag is given as 2.3 cubic feet. The minimum volume per bag is guaranteed to be at least 2 cubic feet.Calculate volume difference: Calculate the difference in volume for one bag. The difference between the maximum and minimum volume per bag is 2.3 ft^3 - 2 ft^3 = 0.3 ft^3.Determine total difference function: Determine the function that represents the total difference for b bags. Since the difference per bag is 0.3 cubic feet, for b bags, the total difference would be 0.3 ft^3 multiplied by the number of bags b. Therefore, the function is f(b) = 0.3 * b.

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