3 markers cost $5.79. Which equation would help determine the cost of 13 markers? Choose 1 answer: (A) (13)/($5.79)=(x)/(3) (B) (x)/( 13)=(3)/($5.79) (c) (3)/($5.79)=(13 )/(x) (D) (13 )/(x)=($5.79)/(3) (E) None of the above

Question

3 markers cost  $5.79. Which equation would help determine the cost of 13 markers? Choose 1 answer: (A)  (13)/($5.79)=(x)/(3) (B)  (x)/( 13)=(3)/($5.79) (c)  (3)/($5.79)=(13 )/(x) (D)  (13 )/(x)=($5.79)/(3) (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 3 markers to the cost of 13 markers. We know that 3 markers cost $5.79, and we want to find the cost of 13 markers, which we'll call x.Set up a proportion: Set up a proportion. Since the cost of markers should be directly proportional to the number of markers, we can set up a proportion where the cost per marker is constant. The proportion should compare the cost of 3 markers to the cost of 13 markers.Analyze the given options: Analyze the given options. We need to find an equation that correctly represents the proportion between the cost of 3 markers and the cost of 13 markers.Evaluate option (A): Evaluate option (A). (13)/($5.79)=(x)/(3) suggests that the number of markers is directly proportional to the cost, which is incorrect. The cost should be directly proportional to the number of markers, not the other way around.Evaluate option (B): Evaluate option (B). (x)/(13)=(3)/($5.79) suggests that the cost per marker (x/13) is equal to the number of markers (3) divided by the cost of those markers ($5.79), which is incorrect. We want the cost per marker to be constant, not the number of markers per unit cost.Evaluate option (C): Evaluate option (C). (3)/($5.79)=(13)/(x) suggests that the number of markers (3) divided by their cost ($5.79) is equal to the number of markers (13) divided by the unknown cost (x). This is the correct representation of the proportion we are looking for.Evaluate option (D): Evaluate option (D). (13)/(x)=($5.79)/(3) suggests that the number of markers (13) divided by the unknown cost (x) is equal to the cost ($5.79) divided by the number of markers (3), which is incorrect. This would imply that the cost per marker decreases as the number of markers increases, which is not the case.Evaluate option (E): Evaluate option (E). None of the above is not correct because we have already identified the correct equation in option (C).

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