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elena-14-01-66 [18.8K]
3 years ago
11

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

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0

Answer:

The answer is : 2/3

Step-by-step explanation:

Given is that y varies directly as x.

Means as y increases or decreases, x also increases or decreases.

When y is 6 when x is 72,

So, when x = 8, we have to find y.

We can write the relation as follows:

\frac{6}{y}= \frac{72}{8}

72y=48

y=\frac{48}{72} = \frac{2}{3}

Eddi Din [679]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

Y varies directly as x

Y =kx

Y=6 when x = 72

First find the relationship between y and x.

i.e find the value of k

Substitute the value of x and y

6 = k *72

Make k the subject of the formula

K = 6/72

K= 1/12

:. The rlationship between x and y is

Y = 1/12x

When x is 8

Y = 1/12 * 8

Y = 8/12

Y = 2/3 and that is the answer

Hope it helped you

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