Answer:
R = 3.6 and A = 2
Step-by-step explanation:
Given that R varies inversely to A then the equation relating them is
R = [tex]\frac{k}{A}[/tex] ← k is the constant of variation
To find k use the condition R = 12 when A = 1.5
k = RA = 12 × 1.5 = 18
R = [tex]\frac{18}{A}[/tex]
(a) when A = 5, then
R= [tex]\frac{18}{5}[/tex] = 3.6
(b) when R = 9
9 = [tex]\frac{18}{A}[/tex] ( multiply both sides by A )
9A = 18 ( divide both sides by 9 )
A = 2
