Mathematics: Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y when x = 8?

4112Step-by-step explanation:...

Variable y varies directly with variable x. If

Alexandragurule18

31.01.2022

y = 2

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

$k = \frac{1}{4}$

So the formula for the variation is

$y = \frac{1}{4} x$

when

x = 8

$y = \frac{1}{4} \times 8$

we have the final answer as

y = 2

Hope this helps you

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