3 erasers cost $4.41. Which equation would help determine the cost of 4 erasers? Choose 1 answer: (A) (4)/(x)=($4.41)/(3) (B) (4)/($4.41)=(x)/(3) (C) (4)/(3)=($4.41)/(x) (D) (4)/(x)=(3)/($4.41) (E) None of the above

Question

3 erasers cost  $4.41. Which equation would help determine the cost of 4 erasers? Choose 1 answer: (A)  (4)/(x)=($4.41)/(3) (B)  (4)/($4.41)=(x)/(3) (C)  (4)/(3)=($4.41)/(x) (D)  (4)/(x)=(3)/($4.41) (E) None of the above

Bytelearn · Accepted Answer

Define Cost of Eraser: Let's denote the cost of one eraser as x dollars. Since 3 erasers cost $4.41, we can write the equation for the cost of 3 erasers as 3x = $4.41. To find the cost of 4 erasers, we need to determine the cost of one eraser first and then multiply it by 4. So, the equation will be 4x = cost of 4 erasers.Calculate Cost of 1 Eraser: We can rearrange the equation 3x = $4.41 to solve for x, the cost of one eraser. Dividing both sides by 3 gives us x = $4.41 / 3. This will give us the cost of one eraser.Find Cost of 4 Erasers: Now that we have the cost of one eraser, we can find the cost of 4 erasers by multiplying the cost of one eraser by 4. The equation for this is 4x = 4 * ($4.41 / 3).Analyze Answer Choices: Looking at the answer choices, we need to find the one that represents the equation 4x = 4 * ($4.41 / 3). Choice (A) (4/x) = ($4.41/3) is incorrect because it suggests dividing 4 by the cost of one eraser, which is not what we want. Choice (B) (4/$4.41) = (x/3) is incorrect because it suggests dividing 4 by the total cost of 3 erasers, which is not the relationship we're looking for. Choice (C) (4/3) = ($4.41/x) is incorrect because it suggests a ratio between the number of erasers and not their costs. Choice (D) (4/x) = (3/$4.41) is incorrect because it inversely relates the number of erasers to the cost of 3 erasers. None of these choices correctly represent the equation 4x = 4 * ($4.41 / 3).Select Correct Answer: Since none of the provided choices match our derived equation 4x = 4 * ($4.41 / 3), the correct answer must be (E) None of the above.

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