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Irina18 [472]
3 years ago
11

It is given that varies directly as . when x+2 , y=16, find the value of when x=6 .

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

y=48

Step-by-step explanation:

Question :

Given:

y varies directly with x

when x=2, y=16

To find value of  y when x=6

Solution:

From the given data we have:

y ∝ x

Thus, we have:

y=kx

where k is the constant of proportionality.

<em>We can find the value of k by plugging in the given values.</em>

when x=2, y=16

16=k(2)

Dividing both sides by 2.

\frac{16}{2}=\frac{k(2)}{2}

8=k

∴ k=8

So, the equation to find y when x=6 will be:

y=8\times 6=48

Thus, when x=6, y=48 (Answer)

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