Question

if y varies as x and y=7 where x=2 find y when x=5​

Answer 1

Answer:

Y=10

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

y varies as x and y = 7 where x = 2

TO DETERMINE

The value of y when x = 5

EVALUATION

Here it is given that y varies as x

$\sf{y \propto \: x}$

⇒ y = kx - - - - - - - (1)

Where k is a non zero constant

Now y = 7 where x = 2

Which gives

7 = 2k

$\displaystyle \sf{ \implies \: k= \frac{7}{2} }$

Here it is given that x = 5

Thus we get

y = kx

$\displaystyle \sf{ \implies \: y = \frac{7}{2} \times 5 }$

$\displaystyle \sf{ \implies \: y = 17.5}$

FINAL ANSWER

Hence the required value of y = 17.5

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