Question

Suppose p represents the amount of air pressure in a tire and t, the time it takes for the tire to go flat, equals −8. What is the value of p, if the quotient of

p
t
is −4?

Answer 1

p = 32

Solution:

Given p represents the amount of air pressure in a tire.

t represents the time it takes for the tire to go flat and t = –8.

To find the value of p, if
`(p)/(t)=-4`.

⇒
`(p)/(t)=-4`

Substitute t = –8 in the above equation.

⇒
`(p)/(-8)=-4`

Do cross multiply, we get

⇒ p = (–8) × (– 4)

⇒ p = 32

Hence, the value of p is 32 if the quotient
`(p)/(t)` is –4.