9514 1404 393
Answer:
x = 1/4
Step-by-step explanation:
There are a couple of ways you can think about this.
1) Realize that y=6 is a factor of 8 smaller than y=48. Then the corresponding x-value will be a factor of 8 smaller than 2. When y=6, the value of x is 2/8 = 1/4.
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2) "Varies directly" means that x and y have the relation ...
y = kx
When y=48 and x=2, this is ...
48 = k·2
24 = k . . . . . divide by 2 to find k
Now that we know k=24, we can find x for y = 6:
6 = 24x
6/24 = x = 1/4
The value of x is 1/4 when y = 6.
