Question

Suppose p varies directly with d and p=3 when d=5. What is the value of d when p=12

Answer 1

Answer:

Answer: d is 20

Step-by-step explanation:

${ \rm{p \: \alpha \: d}} \\ \\ { \rm{p = kd}}$

k is a constant of proportionality

• When p = 3, d = 5.

${ \rm{3 = (k \times 5)}} \\ \\ { \rm{k = \frac{3}{5} }}$

• Therefore, equation becomes;

${ \rm{p = \frac{3}{5} d}}$

• Let's find d when p is 12;

${ \rm{12 = \frac{3}{5}d }} \\ \\ { \rm{d = \frac{12 \times 5}{3} }} \\ \\ { \underline{ \underline{ \rm{ \: \: d = 20 \: \: }}}}$