Answer:
[tex]A = 16[/tex] -- (a)
[tex]m = 17.5[/tex] -- (b)
Step-by-step explanation:
Given
Variation: Direct
A = 8; m = 20
First, represent the variation.
[tex]A\ \alpha\ \ m[/tex]
Represent as an equation
[tex]A = km[/tex]
Make k, make the subject
[tex]k = \frac{A}{m}[/tex]
A = 8; m = 20; So
[tex]k = 8/20[/tex]
[tex]k = 0.40[/tex]
When m = 20, we have:
[tex]A = km[/tex]
[tex]A = 0.40 * 40[/tex]
[tex]A = 16[/tex]
When A = 7, we have:
[tex]A = km[/tex]
[tex]7 = 0.40 * m[/tex]
[tex]m = \frac{7}{0.40}[/tex]
[tex]m = 17.5[/tex]
