Question

Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answer 1

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

$y\:\alpha \:x\\y=kx$

Where k is constant of proportionality.

Finding k, when y=26 and x=8

$y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25$

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

$y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20$

So, when y=65, x=20