Question

R is inversely proportional to A.

Answer 1

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ $\frac{1}{A}$

so, R = $\frac{k}{A}$  -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

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

or, k = 12×1.5 = 18

From eq 1 we get,

R = $\frac{18}{A}$ --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = $\frac{18}{5}$ = 3.6

b)  Putting R = 9 in eq 2 we get

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

or, A = $\frac{18}{9}$ = 2

Answer 2

Answer:

a.3.6

b. 2

Step-by-step explanation:

R is inversely proportional to A

Which means R=k/A

Cross multiply

k=RA

Since R=12

A=1.5

So k=12×1.5

=18

a. We are to determine the value for R

So R=k/A

=18/5

=3.6

b.we are to determine the value for A

So R=k/A

A=k/R

=18/9

=2