Question

If p varies directly as q and p is equal to 282, when q=5.1. If q= 6:8, then what is p? ​

Answer 1

Answer:

Solution :- We know that if p varies directly with q then, p/q = k k is the constant of variation. p = 7, then k = 1/6 ⇒ p/q = 1/6 ⇒ 7/q = 1/6

Answer 2

The value of P is 376.

Step-by-step explanation:

1. As given that the p varies directly as q.

2. For direct proportion case

   $\frac{p_{2}}{p_{1}}=\frac{q_{2}}{q_{1}}$  

   So above equation can be written as

   $p_{2}=\frac{q_{2}}{q_{1}}\times p_{1}$       ...1)

3. Where term in equation 1)

   $p_{1}$ = 282

   $q_{1}$ = 5.1

   $q_{2}$ = 6.8

4. From equation 1)

    $p_{2}=\frac{q_{2}}{q_{1}}\times p_{1}$

    $p_{2}=\frac{6.8}{5.1}\times 282$

   after solving

    $p_{2}=376$