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Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.

Sagot :

Answer ↓

[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]

Calculation ↓

If y varies inversely with x, we divide :

y = [tex]^k/_x[/tex]

Where

k = constant of proportionality

We are given that :

y = 0.5

x = 24

So we write :

0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]

Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]

12=k

[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]

So we have

y = 12/x

[tex]\footnotesize{\text{hope\:helpful}}[/tex]