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if y varies inversely as x and y=½ when x=10, find y when x=-5?​

Sagot :

VARIATIONS

Use the concept of inverse variation

[tex]\sf\large{y=\frac{k}{w}}[/tex], where k is the constant of variation

[tex]\sf\large{y=\frac{1}{2}}[/tex] and x = 10, find k

[tex]\sf\large{ \frac{1}{2} = \frac{k}{10}}[/tex]

Cross multiply

10 × 1 = 2 × k

10 = 2k

[tex]\sf\large{k=\frac{10}{2}}[/tex]

k = 5

[tex]{}[/tex]

Now when x = -5, y = ?

[tex]\sf\large{y=\frac{5}{-5}}[/tex]

y = -1

Answer: -1