Question

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?

NO
54
оо
96

Answer 1

Step-by-step explanation: I hope i'm right

`y \alpha x\\y=kx....(1)\\6=72k\\(6)/(72) =(72k)/(72) \\\\1/12 =k\\y = 1/12x=relationship-between;x-and;y\\x =8 , y =?\\y = (8)/(12) \\Cross-Multiply\\12y =8\\12y/12 = 8/12\\\\y = 2/3`

Answer 2

2/3

Explanation:

The equation for direct variation is: y = kx, where k is a constant.

Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:

y = kx

6 = k * 72

k = 6/72 = 1/12

So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:

y = (1/12)x

y = (1/12) * 8 = 8/12 = 2/3

Thus, y = 2/3.

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