Question

R is inversely proportional to A

Answer 1

Part a: The value of R when $A=5$ is $3.6$

Part b: The value of A when $R=9$ is $2$

Explanation:

It is given that R is inversely proportional to A.

Hence, it can be written as $R=\frac{k}{A}$

Also, it is given that $R=12$ and $A=1.5$

Substituting these values in $R=\frac{k}{A}$, we have,

$12=\frac{k}{1.5}$

$18=k$

Thus, the value of K is $18=k$

Part a: To determine the value of R when $A=5$

Now, substituting $A=5$ and $k=18$ in $R=\frac{k}{A}$, we get,

$R=\frac{18}{5}$

$R=3.6$

Thus, the value of R is $R=3.6$

Part b: To determine the value of A when $R=9$

Now, substituting $R=9$ and $k=18$ in $R=\frac{k}{A}$, we get,

$9=\frac{18}{A}$

$A=\frac{18}{9}$

$A=2$

Thus, the value of A is $A=2$