Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada's Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of students, s, who participated in this fun trip. The total cost of the trip was $2750. How many students did Vikas recruit for this trip? Vikas receives a free trip if he is able to fill 90% of the bus. The bus has a seating capacity of 46 seats. Did Vikas receive his free trip? Show your work.

C = 600 + 50s

Vikas recruits 43 students  for this trip.

Vikas will receive free trip

Step-by-step explanation:

Entry fees for park per student = $50

No. of students = s

total fees for s students = Entry fees for park per student *No. of students

total fees for s students = $50 *s = $50s

Cost of bus transport = $600

Therefore,

total cost of trip for s students(C)= Cost of bus transport +  total fees for s students  = $600 + $50s

C = 600 + 50s

given C = $2750

2750 = 600 + 50s

=> 50s = 2750 - 600 = 2150

=> s = 2150/50 = 43

Therefore, Vikas recruits 43 students  for this trip.

Total capacity of bus = 46

90% of capacity of bus = 90/100*46 = 41.4

Given that Vikas will receive free of trip , if bus he is able  to fill 90% of the bus.

As he has filled 43 seats while 90% capacity is 41.4

hence Vikas will receive free trip.