4 glue sticks cost $7.76. Which equation would help determine the cost of 13 glue sticks? Choose 1 answer: (A) (x)/( 13)=(4)/($7.76) (B) (13 )/(x)=($7.76)/(4) (C) (4)/($7.76)=(13 )/(x) (D) (13)/(4)=($7.76)/(x) (E) None of the above

Question

4 glue sticks cost  $7.76. Which equation would help determine the cost of 13 glue sticks? Choose 1 answer: (A)  (x)/( 13)=(4)/($7.76) (B)  (13 )/(x)=($7.76)/(4) (C)  (4)/($7.76)=(13 )/(x) (D)  (13)/(4)=($7.76)/(x) (E) None of the above

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find an equation that relates the cost of 4 glue sticks to the cost of 13 glue sticks. This is a proportion problem where we are looking for the cost per glue stick to be consistent whether we buy 4 or 13.Set up the proportion: Set up the proportion. We know that 4 glue sticks cost $7.76. We want to find the cost of 13 glue sticks, which we'll call x. The ratio of the number of glue sticks to the cost should be the same for 4 sticks as it is for 13 sticks.Analyze the answer choices: Analyze the answer choices. We need to find an equation that correctly represents the proportion between the number of glue sticks and the cost.  (A) (x)/(13) = (4)/($7.76) - This equation suggests that the cost x is divided by 13, which doesn't make sense in this context.  (B) (13)/(x) = ($7.76)/(4) - This equation suggests that the number of glue sticks (13) is divided by the cost x, which is not the correct relationship.  (C) (4)/($7.76) = (13)/(x) - This equation correctly represents the proportion between the number of glue sticks and the cost. If 4 sticks cost $7.76, then 13 sticks would cost x dollars.  (D) (13)/(4) = ($7.76)/(x) - This equation suggests that the ratio of the number of glue sticks to the cost for 4 sticks is equal to the ratio of the cost to the number of glue sticks for 13 sticks, which is not the correct relationship.  (E) None of the above - We can eliminate this option because we have found a correct equation in option (C).Choose the correct equation: Choose the correct equation. Based on the analysis in Step 3, the correct equation that would help determine the cost of 13 glue sticks is:  (C) (4)/($7.76) = (13)/(x) This equation can be used to solve for x, the cost of 13 glue sticks.

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