A bank offers two checking account plans. Plan A has a base service charge of $4.00 per month plus 10¢ per check. Plan B charges a base service charge of $2.00 per month plus 15¢ per check.
a. Write models for the total monthly costs for each plan if x checks are written.
b. Use a graphing utility to graph the models in the same [0, 50, 10] by [0, 10, 1] viewing rectangle.
c. Use the graphs (and the intersection feature) to determine for what number of checks per month plan A will be better than plan B.
d. Verify the result of part (c) algebraically by solving an inequality.