a factory makes cars at a constant rate. the table shows the number of cars made for different lengths of time. a manager draws a graph of the number of cars made per hour. What is the slope of the line? What foes the slop represent? show ur work
To find the slope of the line, we need to calculate the change in the number of cars made per hour divided by the change in time.
Let's assume the table shows the number of cars made (y) for different lengths of time (x). The data in the table is as follows:
Time (x) Number of Cars (y)
1 10
2 20
3 30
To calculate the change in the number of cars, we subtract the initial number of cars from the final number of cars:
Change in y = Final number of cars - Initial number of cars
Change in y = 30 - 10
Change in y = 20
To calculate the change in time, we subtract the initial time from the final time:
Change in x = Final time - Initial time
Change in x = 3 - 1
Change in x = 2
Now, we can calculate the slope:
Slope = Change in y / Change in x
Slope = 20 / 2
Slope = 10
The slope of the line is 10. The slope represents the rate of change of the number of cars made per hour. In this case, it means that the factory is producing 10 cars per hour.