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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?

Respuesta :

nekiahtucker
T = 10

Just plug the number in for T
SociometricStar

Answer:

10th week

Step-by-step explanation:

We have been given that

[tex]S=\frac{120t}{t^2+100}[/tex]

Now, we have to find t for S= 6

Substituting, the value of S in above equation

[tex]6=\frac{120t}{t^2+100}[/tex]

Cross multiplying, we get

[tex]6t^2+600=120t[/tex]

Subtract 120t to both sides

[tex]6t^2-120t+600=0[/tex]

Divide both sides by 6

[tex]t^2-20t+100=0[/tex]

We can write this in perfect square as

[tex](t-10)^2=0[/tex]

Solve for t

[tex]t-10=0\\\\t=10[/tex]

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

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