The slope of the line on a graph showing the number of cars made per hour represents the production rate, which is the number of cars produced each hour by the factory. Finding the slope involves calculating the rise over run using two points on the graph, and it illustrates the constant rate of car production.
The slope of a line on a graph representing the number of cars made per hour at a factory essentially measures how many cars are produced in one hour, which is the production rate. Since the factory makes cars at a constant rate, the graph would be a straight line. To find the slope, you would pick two points on the line. If the points are (x1, y1) and (x2, y2), where x represents the hours and y represents the number of cars made, then the slope (m) is calculated as m = (y2 - y1) / (x2 - x1). This slope indicates the number of cars made per hour. The constant rate of car production is the steady rate the factory maintains over time.
For example, if in two hours the factory made 120 cars, the slope of the cars produced per hour would be: slope = (number of cars made) / (time in hours) = (120 cars) / (2 hours) = 60 cars/hour. Thus, the slope of 60 represents that the factory produces 60 cars every hour.