Question

y varies inversely with x. If y = 30 when x = 12, find
(1) y when x = 15
(2) x when y = 18​

Answer 1

Answer:

Y is inversely proportional to x

so,    $y = \frac{k}{x}  \\ 30 = \frac{k}{12} \\so, k=30 *12 = 360\\\\\\\\(1) y when x = 15\\y = \frac{360}{15} \\y = 24\\\\\\(2)   18 = \frac{360}{x} \\x = \frac{360}{18} \\x = 20$

Hope this helps

Step-by-step explanation:

Answer 2

Answer: 1) y = 24, 2) x = 20

Step-by-step explanation:

y*x = 30*12

1) y when x = 15

=> y*15 = 30*12

=> y = 30*12/15 = 24

2) x when y = 18

=> 18*x = 30*12

=> x = 30*12/18 = 20