The slope indicates the incremental cost per usage, and the y-intercept represents the starting cost for Roman's handball club membership.
In the context of Roman's handball club membership, the linear equation y = 150 + 15x holds valuable information about the cost y associated with the frequency of using the handball court x.
The slope of the equation, which is 15, represents the rate of change in cost per use of the handball court.
Specifically, for each additional time Roman uses the court x, the cost y increases by $15.
The y-intercept, 150, is the initial cost when Roman has not used the handball court yet (x = 0).
It signifies the baseline membership fee or fixed cost.
In this case, Roman incurs an initial cost of $150 before any additional usage.
In summary, the slope indicates the incremental cost per usage, and the y-intercept represents the starting cost for Roman's handball club membership.
The probable question may be:
Roman has recently joined a handball club, and the cost \(y\) (in dollars) for him to use the handball court \(x\) times is represented by the linear equation \(y = 150 + 15x\). How would you interpret the slope and y-intercept of this equation within the context of Roman's handball club membership?