Answer:
a) R = 3.6
b) A = 2
Explanation:
From the above question, we are told that:
R is inversely proportional to A.
Mathematically =
R ∝ 1/A
= R = k × 1/A
R = k/A
Where k = Constant of Proportionality
We are given
R= 12 when A= 1.5
Hence, we find k
R = k/A
k = RA
k = 12 × 1.5
k = 18
a) Work out the value of R when A= 5.
We have our formula
R = k/A
k = 18
A = 5
R = 18/5
R = 3.6
b) Work out the value of A when R= 9
We have our formula
R = k/A
k = 18
9 = 18/A
Cross Multiply
9A = 18
A = 18/9
A = 2