Is y varies directly as x, and y is 18 when x is 5 witch expression can be used to find the value of y when x is 11?

1 answer:

3 0

As the variation is direct we have:
$y = k * x
$
Where,
k: proportionality constant
We must find the value of k.
For this we use the following data:
y is 18 when x is 5.
Substituting values we have:
$18 = k * 5
$
From here, let's clear k:
$k = 18/5

k = 3.6
$
Then, replacing values we have:
$y = 3.6 * x
$
For x = 11 we have:
$y = 3.6 * 11

y = 39.6$
Answer:
An expression that can be used to find the value of y when x is 11 is:
$y = 3.6 * x
$
When x = 11 we have:
$y = 39.6$

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