Question

Suppose that y varies directly with x and y =10 when x = 20. What is y when x=15

Answer 1

y=13.34 when x=15

Step-by-step explanation:

We are given that x varies directly with y i.e y ∝ x

We know that: y ∝ x then

y= k/x

where k is constant.

So, if y=10 and x=20 we can find k

$y=\frac{k}{x}\\10=\frac{k}{20}\\ k=10*20\\k=200$

Now, we need to find y when x=15

We know that k = 200,

So, $y=\frac{k}{x}\\y=\frac{200}{15}\\y=13.34$

So, y=13.34 when x=15

Keywords: Direct variation

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