Question

pretest: quadratic relationships the number of cars parked in a public parking lot near a shopping center is recorded in the graph. x represents 1:00 p.m. approximately how many cars are expected to be parked in the lot at 4:00 p.m? a. 200 cars b. 130 cars c. 75 cars d. 15 cars

Explanation:

Step1: Determine the time value for 4:00 p.m.

The x - axis represents time, and 1:00 p.m. is likely at x = 1 (or we can see the pattern of time vs x - value). To find the number of cars at 4:00 p.m., we need to find the y - value (number of cars) corresponding to the x - value that represents 4:00 p.m. Looking at the graph, we can analyze the trend of the quadratic curve (the blue curve) and the data points.

Step2: Analyze the graph's trend and data points

The graph is a quadratic (parabola - shaped) curve. We can see the number of cars increases, reaches a peak, and then decreases. To find the number of cars at 4:00 p.m., we can estimate the x - value for 4:00 p.m. and then find the corresponding y - value. From the x - axis labels, we can see the time scale. If we assume that the x - value for 4:00 p.m. is such that we can look at the curve or the data points. Alternatively, we can see the options and eliminate the wrong ones. Option A (200) is too high, option D (15) is too low, option B (130) is also a bit high. Looking at the graph, around the time corresponding to 4:00 p.m., the number of cars is approximately 75.

Answer:

C. 75 cars