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In the first week of its release, the latest video game sold $4.5 million dollars in games. The video game’s producers use the formula to predict the number of game sales t weeks after a new game’s release, where is the first week sales. What are the predicted game sales to the nearest $0.1 million for the fifth week of this game’s release? (Note: t = 0 for the first week.)
a. 0.6 million dollars
c. 6 million dollars
b. 0.9 million dollars
d. 0.4 million dollars

Respuesta :

fuadsafeer1

b. 0.9 million dollars

Answer:

Option a

Step-by-step explanation:

Given that in the first week of its release, the latest video game sold $4.5 million dollars in games.

[tex]P_t=P_0e^{-0.4t}[/tex]

To find out the predicted game sales to the nearest $0.1 million for the fifth week of this game’s release we have to substitute t =5

P0 = initial sales of games = 4.5 million

Thus substitute to get

[tex]P(5) =4.5 e^{-0.4*5} =0.609[/tex] million

Hence when rounded off to 0.1 million we have

0.6 million dollars

Option a

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