Question

R is inversely proportional to A.
R=12 when A=1.5

a) Work out the value of R when A=5.
b) Work out the value of A when R=9.

Answer 1

Answer:

answer is 3.6 and 2 respectively

Step-by-step explanation:

as R = k / A

where k is proportionality constant

12 = k / 1.5

k = 12 * 1.5

k = 18

now

a). R = 18 / 5

= 3.6

b). A = 18 / 9

= 2

Answer 2

Answer:

a) The value R is 3.6.

b) The value of A is 2.

Step-by-step explanation:

According to the question,

R is inversely proportional to A, i.e.,

⇒ R ∝ 1/A

⇒ R = k/A . . . . . (1)

where k is the inverse constant.

It is given that R = 12 when A = 1.5.

Substitute the values of R and A in the equation (1) as follows:

12 = k/1.5

⇒ k = 12 × 1.5

⇒ k = 18

Thus, the value of the inverse constant is 18.

a) To find the value of R when A = 5.

Substitute the values 18 for k and 5 for A in the equation (1) as follows:

⇒ R = 18/5

⇒ R = 3.6

The value of R is 3.6 when A = 5.

b) To find the value of A when R = 9.

Substitute the values 18 for k and 9 for R in the equation (1) as follows:

⇒ 9 = 18/A

⇒ A = 18/9

⇒ A = 2

The value of A is 2 when R = 9.

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