15DANCE TICKETS WERE SOLD IN ONE HALF HOUR. IF THIS RATE CONTINUES HOW LONG WOULD YOU EXPECT IT TO TAKE TO SELL 270 tickets.
1 answer:
Answer:
9 hours
Step-by-step explanation:
Using the initial ratio of 15 tickets in half an hour, you can set up a proportion (equivalent ratios) to find the amount of time it would take to sell 270 tickets:
Where 'x' is the amount of time to seel 270 tickets.
Cross-multiply: 0.5(270) = 15x or 135 = 15x
Divide: 15x/15 = 135/15 or x = 9 hours
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x + π ( 1 - x ) = 0
x + π - π x = 0
x ( 1 - π ) = - π / · ( - 1 )
x ( π - 1 ) = π
x = π / ( π - 1 )