Question

essential question: how can we use our understanding of solving equations and formulas in real life?
score: 18
directions: read each problem carefully and answer the questions. no phones, no talking, an cheating.
going to island water park!
your class is planning a field trip to island water park. theres a bus fee, a ticket cost per student, ar each student pays money to go. youll write and solve equations to figure out when the trip breaks e
part 1 - attempting
the bus costs $800. each students ticket costs $24. the total cost of the trip is $1808. let ( n = ) num students.

• write an equation showing the total cost.
• solve for ( n ).
• write 1 - 2 sentences explaining what your answer means.

part 2 - approaching
the school now charges each student $28 to go. the trip still costs $210 for the bus plus $21 for tickets. let ( n = ) the number of students.

• write an equation where the total revenue is the same as the total cost.
• solve for ( n ) (the break - even point).
• check your work by substituting your answer back into the equation.

Explanation:

Step1: Write the equation for total cost

The total cost is the sum of the bus cost and the cost of tickets for \(n\) students. The bus cost is \(800\) and each ticket costs \(24\), so the equation is \(800 + 24n=1808\).

Step2: Solve for \(n\)

Subtract \(800\) from both sides of the equation:
\(24n=1808 - 800\)
\(24n = 1008\)
Divide both sides by \(24\):
\(n=\frac{1008}{24}=42\)

Step3: Explain the answer

The value of \(n = 42\) means that when there are \(42\) students going on the trip, the total cost of the trip (bus cost plus ticket costs for students) is \(1808\) dollars.

Answer:

• Equation: \(800 + 24n=1808\)
• \(n = 42\)
• Explanation: When \(n = 42\), the total cost of the trip (bus cost plus ticket costs for students) equals \(1808\) dollars.