Question

If y varies inversely with x and y = 8 when x = 10, then what is the constant of variation?

Answer 1

Constant Variation = 80

Explanation:

Here,

Said that x and y vary inversely ,

So,

Then an increase in x causes corresponding decrease in y and vice-versa then to find the constant k will be:

xy = k

Hence,

Here y = 8 and x = 10

So their constant will be,

x × y = k

=> k = 8 × 10

=> k = 80

Therefore, the required constant is 80 (Ans)