Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n + 30.52. how would me graph look like

To graph the linear equation C = 2.85n + 30.52, you will need to plot a series of points on a coordinate plane and then connect them to form a straight line.

To begin, choose several values for n (the independent variable) and substitute them into the equation to find the corresponding values of C (the dependent variable). Let's say we choose n = 0, 1, 2, 3, and 4:

For n = 0:
C = 2.85(0) + 30.52 = 30.52

For n = 1:
C = 2.85(1) + 30.52 = 33.37

For n = 2:
C = 2.85(2) + 30.52 = 36.22

For n = 3:
C = 2.85(3) + 30.52 = 39.07

For n = 4:
C = 2.85(4) + 30.52 = 41.92

Now, plot these points on a graph with the x-axis representing n and the y-axis representing C. For example, the first point is (0, 30.52), the second point is (1, 33.37), and so on. Make sure to extend the graph to accommodate the range of values you have calculated.

Once you have plotted the points, draw a straight line that passes through them. This line represents the graph of the linear equation C = 2.85n + 30.52.

Note that since the coefficient of n is positive (2.85), the line will have a positive slope, meaning that as n increases, C will also increase. The y-intercept of 30.52 represents the value of C when n is 0.

By following these steps, you will have successfully graphed the linear equation C = 2.85n + 30.52.