Question
W is directly proportional to U.if W=5 when U=3,find U when W = 2/7
Answers
GPT 3.5
To find the value of U when W = 2/7, we can set up a proportion using the given information that W is directly proportional to U.
W1/U1 = W2/U2
Given:
W1 = 5
U1 = 3
W2 = 2/7
Substitute the values into the equation:
5/3 = (2/7)/U2
Cross multiply to solve for U2:
5 * U2 = 3 * (2/7)
5U2 = 6/7
Divide by 5 to isolate U2:
U2 = (6/7) / 5
U2 = 6 / (7*5)
U2 = 6 / 35
Therefore, when W = 2/7 in the given proportion, U = 6/35.
W1/U1 = W2/U2
Given:
W1 = 5
U1 = 3
W2 = 2/7
Substitute the values into the equation:
5/3 = (2/7)/U2
Cross multiply to solve for U2:
5 * U2 = 3 * (2/7)
5U2 = 6/7
Divide by 5 to isolate U2:
U2 = (6/7) / 5
U2 = 6 / (7*5)
U2 = 6 / 35
Therefore, when W = 2/7 in the given proportion, U = 6/35.