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the time spent in line to enter a concert varies inversely to the number of gates open. if just 3 gates are open, the wait time is about 50 minutes. find the wait time if there are 8 gates open.

Sagot :

Mhanifaidn

Answer:

  • 18.75 min or  18 min 45 sec

Step-by-step explanation:

Inverse variation equation:

  • y = k / x

We have:

  • y = 50 when x = 3

Find the value of k:

  • 50 = k / 3
  • k = 50*3
  • k = 150

The equation becomes:

  • y = 150 / x

Find the value of y, when x = 8:

  • y = 150/8
  • y = 18.75 minutes or 18 min 60*0.75 sec = 18 min 45 sec

Answer:

100/3 min

Step-by-step explanation:

Wait time for 3 gates = 50 min

Wait time for 1 gate = 50/3 min

Wait time for 8 gates = 50/3 × 8

=> 25/3 × 4

=> 100/3 min

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