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A store tracks the sales of one Of its popular board games over a 12 week. The rate of which games are being sold is modeled by the differentiable function G where GT is measured in games per week and T is measured and weeks for 0_< t _< 12

Respuesta :

The question stated has some missing statement part and question part in it.

Missing Statement Part:

t {weeks} ⇔ G(t) {games per week}

0⇔160

3⇔450

6⇔900

10⇔2100

12⇔2400

Missing Question Part:

Approximate the value of G'(8) using the data in the table. Show the computation that leads to the answer.

Answer:

300 games/week²

Step by Step Explanation:

[tex]G'(t)=\frac{dG(t)}{dt} \\[/tex]

i.e. change in values of function G(t) divided by change in change in time (weeks).

[tex]\frac{G(10)-G(6)}{10-6}\\ =\frac{2100-900}{4} \\=300[/tex]

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