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w=3.1+(l)/(2) The weight, w, in ounces, of a glass soda bottle design with a side length of l inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length? Choose 1 answer: (A) 0.5 (B) 2 (c) 3.1 (D) 3.6

w=3.1+l2 w=3.1+\frac{l}{2} \newlineThe weight, w w , in ounces, of a glass soda bottle design with a side length of l l inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length?\newlineChoose 11 answer:\newline(A) 00.55\newline(B) 22\newline(C) 33.11\newline(D) 33.66

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Q. w=3.1+l2 w=3.1+\frac{l}{2} \newlineThe weight, w w , in ounces, of a glass soda bottle design with a side length of l l inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length?\newlineChoose 11 answer:\newline(A) 00.55\newline(B) 22\newline(C) 33.11\newline(D) 33.66
  1. Analyze Equation: Analyze the given equation for the weight of the glass soda bottle.\newlineThe equation is w=3.1+l2w = 3.1 + \frac{l}{2}. This equation shows that the weight (ww) is a function of the side length (ll). To find out how much the weight increases for every inch of increase in side length, we need to look at the coefficient of ll in the equation.
  2. Identify Coefficient: Identify the coefficient of ll in the equation.\newlineThe coefficient of ll is the number in front of ll that represents how much ww changes when ll changes. In the equation w=3.1+l2w = 3.1 + \frac{l}{2}, the coefficient of ll is 12\frac{1}{2}.
  3. Interpret Coefficient: Interpret the coefficient of ll in terms of the weight increase.\newlineThe coefficient of 12\frac{1}{2} means that for every unit increase in ll, the weight ww increases by 12\frac{1}{2} of that unit. Since ll is measured in inches, this means that for every inch of increase in the side length, the weight of the bottle increases by 12\frac{1}{2} ounce.
  4. Match with Options: Match the result with the given options.\newlineThe result from Step 33 is 12\frac{1}{2} ounce, which is not explicitly listed in the options. However, 12\frac{1}{2} can be expressed as 0.50.5, so the correct answer is (A) 0.50.5.

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