Final answer:
To model the parking cost for hours greater than two, a point-slope equation is derived using the initial charge and the additional hourly rate, resulting in y - 4 = 2.50(x - 2).
Step-by-step explanation:
To write an equation in point-slope form that models the total cost, y, for parking x hours where x > 2, we must take into account the initial charge and the additional hourly rate.
The initial cost for up to two hours is $4, which is similar to a flat fee. For every hour after the first two hours, the cost increases by $2.50 per hour. The point-slope form of the equation is y - y₁ = m(x - x₁), where m is the slope and (x1, y1) is a point on the line.
Using the information given, the point (2, 4) represents the cost at exactly two hours. After that, the cost goes up by $2.50 for each additional hour, which is the slope of the line. Therefore, the equation becomes:
y - 4 = 2.50(x - 2)
This equation states that the cost y to park for x hours, where x is more than 2, will be $4 plus $2.50 for every hour beyond the initial two hours.