Question

If x varies inversely with y and x = 10 when y = 24.

Find the value of x when y = 8



don'tspam.​

Answer 1

Answer:

x = 30

Step-by-step explanation:

x varies inversely with y means

$y \: \alpha \: \frac{1}{x}$

To remove proportionality symbol, add a constant

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

When x = 10 and y = 24,

$24 = \frac{c}{10}$

therefore, c = 240

with c = 240 and y = 8

$8 = \frac{240}{x}$

$x = \frac{240}{8}$

x = 30

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