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  • Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?

Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?

Answers (1)

Answer:

y = 3x, y = 15 when x = 5.

Solution:

It is given that y varies directly as x

y\propto x

y = kx (Here k is constant)

For finding k, we can use the given condition y = 12 when x = 4

12 = k(4)

\frac{12}{4}=k

k = 3

Hence the equation is y = 3x

When x = 5 then the value of y is:

y = 3(5)

y = 15

Hence y = 15 when x = 5.

Posted by

infoexpert21

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