Question

Please explain this step by step and solve within 10-20 minutes please

Answer 1

Answer:

$y=\frac{306}{7}$ is the answer.

In decimal y = 43.71

Step-by-step explanation:

Given:

y varies directly with x .

Also x = 7 when y = 18

To Find:

y = ? when x = 17

Solution:

y varies directly with x .

i.e. y is directly proportional to x

∴ $y = k\times x$

Where

k = constant of proportionality {Remain Same}

First we will find constant of proportionality k,

∴ When x = 7 and y = 18 we have

∴ $18 = k\times 7\\\\k=\frac{18}{7}$

Now when x= 17 and $k=\frac{18}{7}$ we have

∴ $y = k\times x$

∴ $y=\frac{18}{7}\times 17\\\\y=\frac{306}{7}\\\\ y=43.71$