3 folders cost $2.91. Which equation would help determine the cost of 2 folders? Choose 1 answer: (A) (2)/($2.91)=(x)/(3) (B) (2)/(x)=(3)/($2.91) (C) (x)/(2)=(3)/($2.91) (D) (2)/(x)=($2.91)/(3) (E) None of the above

Question

3 folders cost  $2.91. Which equation would help determine the cost of 2 folders? Choose 1 answer: (A)  (2)/($2.91)=(x)/(3) (B)  (2)/(x)=(3)/($2.91) (C)  (x)/(2)=(3)/($2.91) (D)  (2)/(x)=($2.91)/(3) (E) None of the above

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Understand the Problem: Understand the problem. We need to find an equation that relates the cost of 2 folders to the cost of 3 folders, which is given as $2.91. We are looking for a proportion that will allow us to solve for the unknown cost of 2 folders.Set up the Proportion: Set up the proportion. Since we know the cost of 3 folders, we want to set up a proportion where the number of folders is in one ratio and the cost is in the other. The correct proportion should have the cost of 2 folders (which we are trying to find) in relation to the cost of 3 folders ($2.91).Evaluate the Options: Evaluate the given options. We need to find an equation that correctly sets up this proportion. Let's evaluate each option:  (A) (2)/($2.91)=(x)/(3) - This option incorrectly relates the number of folders to the cost of folders. (B) (2)/(x)=(3)/($2.91) - This option incorrectly relates the number of folders to the cost of folders. (C) (x)/(2)=(3)/($2.91) - This option correctly relates the cost of 2 folders (x) to the cost of 3 folders. (D) (2)/(x)=($2.91)/(3) - This option incorrectly relates the number of folders to the cost of folders. (E) None of the above - We need to check if any of the options A to D are correct before selecting this.Choose the Correct Equation: Choose the correct equation. Option (C) (x)/(2)=(3)/($2.91) is the correct equation because it sets up a proportion where x represents the cost of 2 folders, which is what we are trying to find. The left side of the equation represents the cost per folder for 2 folders, and the right side represents the cost per folder for 3 folders.

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