If W varies directly with F and when W = 24, F = 6. Find the value of W when F = 10?Choices:- 26 38 40 32
Question
If W varies directly with F and when W = 24, F = 6. Find the value of W when F = 10?
Choices:
- 26
- 38
- 40
- 32
Solution
The problem states that W varies directly with F. This means that the ratio of W to F is constant. We can express this relationship as W = kF, where k is the constant of variation.
From the problem, we know that when W = 24, F = 6. We can substitute these values into the equation to find the value of k:
24 = k * 6 k = 24 / 6 k = 4
Now that we know the value of k, we can find the value of W when F = 10:
W = k * F W = 4 * 10 W = 40
So, the value of W when F = 10 is 40. The correct choice is 40.
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