Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did.
Number of miles 0 1 2 3 4 5
Total cost 52 10.4 10.4 10.4 10.4 10.4 10.4
I would choose the slope-intercept form of the equation for this situation. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In this problem, the total cost remains constant at $10.4 for all distances traveled. This means that the slope of the line is 0. Since the slope of the line is 0, the equation would be y = 0x + b. Simplifying this equation, we get y = b.
The y-intercept in this case represents the total cost when the number of miles traveled is 0. Looking at the given data, when the number of miles is 0, the total cost is $52. Therefore, the y-intercept is b = 52.
Putting it all together, the equation in slope-intercept form would be y = 52.