Members of a lacrosse team raised $2370.50 to go to a tournament. They rented a bus for $780.50 and budgeted $66.25 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?A66, point, 2, 5, x, equals, 780, point, 5, minus, 2370, point, 566.25x=780.5−2370.5B780.5780.5780.5...66.252370.5780.5xC2370, point, 5, equals, 66, point, 2, 5, left bracket, x, plus, 780, point, 5, right bracket2370.5=66.25(x+780.5)D
Question
Members of a lacrosse team raised 780.50 and budgeted $66.25 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?A66, point, 2, 5, x, equals, 780, point, 5, minus, 2370, point, 566.25x=780.5−2370.5B780.5780.5780.5...66.252370.5780.5xC2370, point, 5, equals, 66, point, 2, 5, left bracket, x, plus, 780, point, 5, right bracket2370.5=66.25(x+780.5)D
Solution
The correct equation to represent the context is C.
2370.5 = 66.25(x + 780.5)
Here's why:
The total amount of money raised by the lacrosse team is $2370.50. This total amount is used to cover the cost of the bus rental and the meals for each player.
The cost of the bus rental is a fixed cost of 66.25.
So, the total cost for the trip, including the bus rental and meals for each player, can be represented as 66.25x + 780.5, where x is the number of players.
Setting this equal to the total amount raised gives the equation 2370.5 = 66.25(x + 780.5).
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