Answer:
d. 36
Explanation:
You want to know the value of y for x=3 when y=24 and x=2, and the variation is direct.
Direct variation means the ratio of y to x is the same for any x and y.
y/x = 24/2 = b/3
b = 3(24/2) = 3(12) = 36
The value of b is 36.
b is 36
The relationship between x and y with the first data point (2,24) is 1/12. That is, x is 1/12 of y. Or we can say y = 12x. The second point has x = 3. If the same proportionality holds, then b would be 12*3 or 36.
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