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

Sagot :

Answer:

Answer: d is 20

Step-by-step explanation:

[tex]{ \rm{p \: \alpha \: d}} \\ \\ { \rm{p = kd}}[/tex]

k is a constant of proportionality

• When p = 3, d = 5.

[tex]{ \rm{3 = (k \times 5)}} \\ \\ { \rm{k = \frac{3}{5} }}[/tex]

• Therefore, equation becomes;

[tex]{ \rm{p = \frac{3}{5} d}}[/tex]

• Let's find d when p is 12;

[tex]{ \rm{12 = \frac{3}{5}d }} \\ \\ { \rm{d = \frac{12 \times 5}{3} }} \\ \\ { \underline{ \underline{ \rm{ \: \: d = 20 \: \: }}}}[/tex]

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