Assess which explanation on how to obtain the value of x in the equation 4x=3681 is reasonable.(1 point)
Responses
Reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
Reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
Divide 81 by 9 to obtain the value of x.
Divide 81 by 9 to obtain the value of x .
Divide 36 by 81, and then multiply by 4 to determine the value of x.
Divide 36 by 81, and then multiply by 4 to determine the value of x .
Multiply the numerators and denominators. Equate the product to calculate the value of x.
The most reasonable explanation to obtain the value of x in the equation 4x=3681 is to divide 3681 by 4.
a b c or d
c
Based on the provided options, it seems that there are two duplicate explanations and one different one. Let's assess each explanation to determine which one is reasonable:
1. Reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
2. Divide 81 by 9 to obtain the value of x.
3. Divide 36 by 81, and then multiply by 4 to determine the value of x.
Explanation 1 and explanation 3 are essentially the same. They both involve dividing a number by 9 and then multiplying by 4, which is not directly applicable to solving the equation 4x=3681.
Explanation 2, on the other hand, divides 81 by 9 to obtain the value of x. While dividing 81 by 9 is correct, it does not directly correspond to the equation 4x=3681. Therefore, explanation 2 is also not a reasonable approach to obtaining the value of x in the given equation.
The reasonable explanation would be to divide both sides of the equation 4x=3681 by 4:
4x/4 = 3681/4
x = 920.25
Therefore, none of the provided explanations are reasonable for obtaining the value of x in the equation 4x=3681.