6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A) (3)/(x)=($6.60)/(6) (B) (3)/(6)=($6.60)/(x) (c) (x)/(3)=(6)/($6.60) (D) (x)/(3)=($6.60)/(6) (E) None of the above

Question

6 erasers cost  $6.60. Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A)  (3)/(x)=($6.60)/(6) (B)  (3)/(6)=($6.60)/(x) (c)  (x)/(3)=(6)/($6.60) (D)  (x)/(3)=($6.60)/(6) (E) None of the above

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find an equation that will allow us to calculate the cost of 3 erasers, given that 6 erasers cost $6.60. We are looking for a proportional relationship between the number of erasers and the total cost.Analyze the options: Analyze the given options. We need to find an equation that represents the cost of 3 erasers (let's call it x) in relation to the known cost of 6 erasers ($6.60). The equation should show that the cost of erasers is directly proportional to the number of erasers.Evaluate option (A): Evaluate option (A). Option (A) suggests the equation (3)/(x)=($6.60)/(6). This equation implies that the number of erasers is inversely proportional to the cost, which is incorrect. The more erasers you buy, the higher the cost should be, not lower.Evaluate option (B): Evaluate option (B). Option (B) suggests the equation (3)/(6)=($6.60)/(x). This equation implies that the ratio of the number of erasers (3 to 6) is equal to the ratio of the cost ($6.60 to x). This is the correct form for a proportion, but we want to solve for the cost of 3 erasers, not 6, so x should represent the cost of 3 erasers, not 6.Evaluate option (C): Evaluate option (C). Option (C) suggests the equation (x)/(3)=(6)/($6.60). This equation is not correctly set up; it implies that the ratio of the cost of some number of erasers (x) to 3 is equal to the ratio of the number of erasers (6) to the cost of 6 erasers ($6.60). This does not make sense in the context of the problem.Evaluate option (D): Evaluate option (D). Option (D) suggests the equation (x)/(3)=($6.60)/(6). This equation is set up correctly, showing that the cost of 3 erasers (x) is proportional to the cost of 6 erasers ($6.60). This is the correct equation to use to find the cost of 3 erasers.Evaluate option (E): Evaluate option (E). Option (E) suggests that none of the above equations are correct. However, we have already determined that option (D) is the correct equation for the problem.

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