Final answer:
The equation in slope-intercept form that represents the amount charged for a cab ride in Charlotte is c = 2.50m + 2.50, where c is the total cost and m is the miles traveled.
Step-by-step explanation:
To write an equation in slope-intercept form representing the amount charged ($c) for m number of miles by a cab company in Charlotte, we need to incorporate the initial fee and the charge per mile. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (cost per mile) is $2.50, and the y-intercept (initial fee) is $2.50. Therefore, the equation is c = 2.50m + 2.50. Here, c represents the total cost of the cab ride, and m represents the miles traveled.