For a 4D animation movie, fans buy 400 tickets. For each consecutive show, the number of tickets fans buy increases by a factor of 1.5. Which expression gives the number of tickets bought by the fans after 4 consecutive shows?
A
400+(1.5+1.5+1.5+1.5)
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B
400+1.5+1.5+1.5+1.5
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C
400×(1.5+1.5+1.5+1.5)
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D
400×(1.5×1.5×1.5×1.5)
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Solution
The correct option is D400×(1.5×1.5×1.5×1.5) Number of tickets fans buy for the 1st show of the 4D movie =400
The number of tickets bought increases by a factor of 1.5 in every consecutive show.
By the end of the 2nd show, the total number of tickets the fans bought =400×1.5
By the end of the 3rd show, the total number of tickets the fans bought =400×1.5×1.5
By the end of the 4th show, the total number of tickets the fans bought =400×1.5×1.5×1.5
By the end of the 5th show, the total number of tickets the fans bought =400×1.5×1.5×1.5×1.5