Question

If y varies inversely as x, and y =35 when x =14, find x when y =15.

Answer 1

`x = 32 (2)/(3)`

Explanation:

`y = (k)/(x) ,where \: k \: is \: a \: constant.`

Let's find the value of k first.

When y= 35, x= 14,

`35 = (k)/(14)`

k= 14(35)

k= 490

Substitute the value of k into the equation:

`y = (490)/(x)`

When y= 15,

`15 = (490)/(x)`

15x= 490

x= 490 ÷15

`x = 32 (2)/(3)`