Question

The weekly sale S (in thousands of units) for the t^th week after the introduction of the product in the market is given by S=(120t)/(t2+100). In which week would the sale (S) have been 6?

Answer 1

T = 10

Just plug the number in for T

Answer 2

10th week

Explanation:

We have been given that

`S=(120t)/(t^2+100)`

Now, we have to find t for S= 6

Substituting, the value of S in above equation

`6=(120t)/(t^2+100)`

Cross multiplying, we get

`6t^2+600=120t`

Subtract 120t to both sides

`6t^2-120t+600=0`

Divide both sides by 6

`t^2-20t+100=0`

We can write this in perfect square as

`(t-10)^2=0`

Solve for t

`t-10=0\\\\t=10`

Therefore, in 10th week, the sale would have been 6.