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

Answer:

10th week

Step-by-step explanation:

We have been given that

$S=\frac{120t}{t^2+100}$

Now, we have to find t for S= 6

Substituting, the value of S in above equation

$6=\frac{120t}{t^2+100}$

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.