The equation for C the total cost of using the computer is; C = 0.1·t + 4
The slope of the function is; 0.1
Which represent the cost of using the computer per minute
The steps used for finding the equation for the cost of the computer and the slope of the equation are as follows;
The possible points on the graph in the question are (0, 4), (5, 4.5), and (10, 5)
The slope, m, of the graph is therefore; (5 - 4)/(10 - 0) = 1/10
1/10 = 0.1
The y-value at the y-intercept, obtained from the coordinate of the point on the graph where the x-value is zero, which is the point (0, 4) is; y = 4
The equation for the function for the total cost C, which is the for the line on the graph is therefore; C = 0.1·t + 4
Where t represents the number of minutes the computer is used at the cafe.
The slope of the function is 0.1, which represents the cost of using the computer per minute
The possible question obtained from a similar question found through search can be presented as follows;
Sophia aais going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem