Answer:
[tex]q = 69[/tex]
Step-by-step explanation:
Given
Variation:
[tex]p\ \alpha\ \frac{1}{q}[/tex]
[tex]p = 21; q = 23[/tex]
Required
Find q, when [tex]p =7[/tex]
We have:
[tex]p\ \alpha\ \frac{1}{q}[/tex]
Express as equation
[tex]p = \frac{k}{q}[/tex]
Make k the subject
[tex]k = pq[/tex]
When: [tex]p = 21; q = 23[/tex]
[tex]k = 21 * 23[/tex]
[tex]k = 483[/tex]
So, we have: when [tex]p =7[/tex]
[tex]p = \frac{k}{q}[/tex]
[tex]7 = \frac{483}{q}[/tex]
Make q the subject
[tex]q = \frac{483}{7}[/tex]
[tex]q = 69[/tex]
