Question

Question 71

p is proportional to q³. It is known that p = 40 for a particular value of q. Find the
value of p when the value of q is halved.​

Answer 1

given

p=q^3

p=40

______

q=(p)^1/3

q=(40)^1/3-->q=2(5)^1/3

Now

the value of half of q , (2(5)^1/3)÷(2) ,is 5^1/3.

finally the value of p gonna be

p=q^3

p=(5^1/3) ^ 3

p=5

Answer 2

p=5

Explanation:

p is proportional to q^3

`\frac(p_1}{p_2)`=[
`(q_1)/(q_2)`]^3

`(40)/(p_2)`={
)^3

`(40)/(p_2)`=8

`{p_2}`=5