Question

p varies directly as square of q and p is equal to 4 when q = 2/3. Find p when q= 8/3.​

Answer 1

Answer:

Step-by-step explanation:

1 - P varies directly as Q^2. P =kQ^2. Here k is called “constant of proportionality”.

2 - We have to find k first. When P=40, Q=Q^2=2^2=4.

3 - P=kQ^2. Will now sub the values of P=40 and Q=4 into this equation

4 - 40 =k*4, and k =40 / 4 = 10 -this is the “constant of proportionality”

5 - P=kQ^2. Will now find P, because we know both “k” and Q

6 - P =10 * 3^2 =10 * 9 ==90 - this is the value of P when Q=3.