Which equation would be used to represent the word problem below?%0D%0A%0D%0A%0D%0A%0D%0AWe Love Skating charges $9 to get in plus $2.50 per hour for skate rental. Lets skate charges $5.50 per hour to rent the skates. How many hours would you have to skate for the cost to be the same?%0D%0A%0D%0A%0D%0A5.50x + 9 = 2.50x%0D%0A%0D%0A5.50 + 9x = 2.50x%0D%0A%0D%0A2.50 + 9x = 5.50x%0D%0A%0D%0A2.50x + 9 = 5.50x
The correct equation to represent this word problem is:
5.50x + 9 = 2.50x
The correct equation that represents the given word problem is:
5.50x + 9 = 2.50x
The equation that would be used to represent the given word problem is "5.50x + 9 = 2.50x".
To explain how this equation is derived, let's break down the problem:
We Love Skating charges $9 to get in plus $2.50 per hour for skate rental.
Lets skate charges $5.50 per hour to rent the skates.
To find the number of hours (x) for which the cost would be the same, we need to equate the total cost for both options.
For We Love Skating, the total cost can be calculated as $9 for entry plus $2.50 per hour for skate rental. Therefore, the total cost for We Love Skating is represented as (9 + 2.50x).
For Lets skate, the total cost can be calculated as $5.50 per hour for skate rental. Therefore, the total cost for Lets skate is represented as (5.50x).
Since we want to find the number of hours (x) for which the cost is the same, we set up the equation:
(9 + 2.50x) = (5.50x)
Simplifying the equation, we get:
9 + 2.50x = 5.50x
Now we can solve for x to find the number of hours required for the cost to be the same.