The equation "y = 50x - 35" accurately models the total number of cars parked over time, with the ordered pair (4, 165) representing 165 cars at 10:00 a.m.
The equation representing the situation can be written in the form "y = mx + b," where y is the total number of cars parked, x is the time in hours, m is the rate of cars parked per hour, and b is the initial number of cars at the start of the day.
Since cars park at a constant rate of 50 per hour between 7:00 a.m. and 11:00 a.m., the rate m is 50. The parking lot opens at 6:00 a.m., so b is the initial number of cars at 6:00 a.m., which is 0.
Therefore, the equation is "y = 50x + 0," which simplifies to "y = 50x."
At 10:00 a.m. (x = 4), the total number of cars y is given by "y = 50 * 4 = 200." However, there are already 165 cars parked at 10:00 a.m., so we need to subtract the excess cars from the total.
Therefore, the corrected equation is "y = 50x - 35," where 35 is the excess cars at 10:00 a.m.
The ordered pair representing 165 cars parked at 10:00 a.m. is (4, 165). In this ordered pair, the x-coordinate (4) represents the time (10:00 a.m.), and the y-coordinate (165) represents the total number of cars parked at that time.
Complete question:
The parking lot near the diving company opens during the day at 6:00 a.m. m. Between 7:00 a.m. m. and 11:00 a.m. m., cars park at a constant rate of 50 per hour. At 10:00 a.m. m., there are 165 cars in the parking lot. Write an equation that represents the situation in the form y = mx + b. A. Write an ordered pair that represents 165 cars parked at 10:00 a.m. m. What does each point coordinate represent?