The amusement park has two plans available for the school to choose from. Plan A is listed in the table below.


Cost (per vehicle) = $10
Cost (per person) = $30


The cost of Plan B can be calculated using the formula c = $15v + $28p, where c represents the cost, v represents the number of vehicles, and p represents the number of people. The school has a budget of $7200 for the cost of tickets and parking. If 241 students are going on the field trip, which plan should the school purchase? Explain your reasoning.

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Answer:

the second plan should be purchased.

Step-by-step explanation:

school budget is $7200

plan 1: 241 students are $30 each is

241 × 30 = $7230 which is over budget with no money for parking for the vehicles.

plan 2: 241 students are $28 each is

241 × 28 = $6748

with a budget of $7200 for the trip the amount left for parking is

$7200 - $6748 = $452

plan 2: Parking is $15 per vehicle

Therefore the remaining $452 can be used to pay for 452 ÷ 15 = 30.13 vehicles

The school should purchase Plan 2 for the field trip.

The budget of $7200 can pay for 241 tickets for students and parking for 30 vehicles

The school should purchase the second plan.

School's budget = $7200

The cost for the first plan will be:

= 241 × $30

= $7230

This is more than the school budget of $7200

For the second plan, the cost will be:

= 241 × $28

= $6748.

This is below the school budget and therefore affordable.

The school should choose the second plan as there'll be more money available for parking.

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