The equation for the total revenue earned by a company for selling widgets is p=4q. The equation for the total cost of the company for producing widgets if p=q+6.
Graph p=4q
To graph the equation p = 4q, you can follow these steps:
1. Choose a range for the values of q that you want to plot on the x-axis. For example, let's choose a range from -10 to 10.
2. Substitute different values of q into the equation p = 4q to find the corresponding values of p. For each value of q, calculate p = 4q.
For example, when q = -10, p = 4(-10) = -40
when q = -5, p = 4(-5) = -20
when q = 0, p = 4(0) = 0
when q = 5, p = 4(5) = 20
when q = 10, p = 4(10) = 40
3. Plot the points (q, p) on a graph with the value of q on the x-axis and the value of p on the y-axis. In this case, the points would be (-10, -40), (-5, -20), (0, 0), (5, 20), and (10, 40).
4. Connect the plotted points with a straight line. Since the equation p = 4q represents a linear relationship, the graph should be a straight line passing through the points.
The graph will show how the value of p changes as q varies. In this case, since the coefficient of q is positive (4), the line will have a positive slope, indicating that p increases as q increases.