Question

It is known that a laptop company's average production is given by P(t) = (150t) / (3t+20), where

t is the time (in days). How many days will it take the company to produce 30 laptops?

Answer 1

10 days

Explanation:

Step one:

given that the expression for the company's average production is

`P(t) = (150t) / (3t+20)`

Required:

t, when P=30

Step two:

substituting we have

30=150t/3t+20

cross multiply we have

30(3t+20)=150t

90t+600=150t

collect like terms

600=150t-90t

600=60t

divide through by 60

t=600/60

t=10 days

it will take the company 10 days