Question

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

Answer 1

Answer:

$x = 32 \frac{2}{3}$

Step-by-step explanation:

$y = \frac{k}{x} ,where \: k \: is \: a \: constant.$

Let's find the value of k first.

When y= 35, x= 14,

$35 = \frac{k}{14}$

k= 14(35)

k= 490

Substitute the value of k into the equation:

$y = \frac{490}{x}$

When y= 15,

$15 = \frac{490}{x}$

15x= 490

x= 490 ÷15

$x = 32 \frac{2}{3}$