Answered

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If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.

Sagot :

MrRoyal

Answer:

[tex]q = 7[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation

[tex]p =2; q = 21[/tex]

Required

Find q when [tex]p = 6[/tex]

[tex]p\ \alpha\ \frac{1}{q}[/tex]

This becomes

[tex]p = \frac{k}{q}[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = p * q[/tex]

Substitute [tex]p =2; q = 21[/tex]

[tex]k = 2 * 21[/tex]

[tex]k =42[/tex]

When [tex]p = 6[/tex], we have:

[tex]p = \frac{k}{q}[/tex]

[tex]6 = \frac{42}{q}\\[/tex]

Make q the subject

[tex]q = \frac{42}{6}[/tex]

[tex]q = 7[/tex]

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