It costs $2 per hour, x, to rent ice skates. Which linear equation represents this situation?
y=x+2
y=x−2
y=2x+2
y=2x
The correct linear equation that represents this situation is: y = 2x.
The correct equation that represents this situation is y = 2x.
To understand why, let's break it down:
In the context of this problem, x represents the number of hours of ice skate rental and y represents the total cost.
We are given that it costs $2 per hour to rent ice skates. This means that for every hour (x) of rental, the cost (y) increases by $2.
Hence, we can conclude that the cost (y) is directly proportional to the number of hours (x) rented. In other words, the relationship can be represented by a linear equation in the form y = mx, where m is the constant rate of change.
Since the cost increases by $2 per hour, the equation becomes y = 2x.
Therefore, the correct linear equation that represents this situation is y = 2x.