Let's take as an example a flat fare of $2.5 and $0.5 per mile. If we want to calculate the total cost for 0 miles, we need to multiply the cost per mile by the number of miles and add the result to the flat fare, we get:
Therefore, the cost for 0 miles is $2.5.
The cost for 1 mile is:
Therefore, the cost for 1 mile is $3.
The cost for 2 miles is:
Therefore, the cost per 3 miles is $3.5. We continue like this for the 3, 4, and 5 miles and we get:
With these values, we can fill the table.
Part a: An equation in slope-intercept form for the cost is given when we set "x" as the number of miles and use the same procedure as before, but for "x" miles:
This is a slope-intercept form of a line equation. This form is preferable because it is easier to use for calculating the total cost by simply replacing the values of "x" and solving the operations.
Part c A line equation in slope-intercept form is:
Where "m" is the slope and "b" is the y-intercept. In this case, the slope is 0.5 and it represents the cost per mile.