Question

members of a lacrosse team raised $2863.50 to go to a tournament. they rented a bus for $1087.50 and budgeted $74 per player for meals. which equation or tape diagram could be used to represent the context if x represents the number of players the team can bring to the tournament? a 1087.5x + 74 = 2863.5 b 74x = 2863.5 - 1087.5 c 1087.5x d 74x = 1087.5 - 2863.5

Explanation:

Step1: Analyze the cost components

The total cost is the sum of the bus - rental cost and the meal cost for players. The bus - rental cost is \(1087.5\) dollars, and the meal cost for \(x\) players is \(74x\) dollars. The total amount raised is \(2863.5\) dollars.

Step2: Set up the equation

According to the relationship "bus - rental cost+meal cost = total amount raised", we can write the equation \(1087.5 + 74x=2863.5\).

Answer:

A. \(1087.5x + 74 = 2863.5\) (Incorrect, mis - assigned the coefficients)
B. \(74x=2863.5 - 1087.5\) (Correct, derived from \(1087.5 + 74x=2863.5\) by subtracting \(1087.5\) from both sides)
C. \(1087.5x=2863.5\) (Incorrect, ignores the meal cost component)
D. \(74x = 1087.5-2863.5\) (Incorrect, wrong subtraction direction)

So the answer is B.