Beatrice is doing so well with her babysitting business that she decides to start a babysitting service over the summer with her friends. Beatrice and her friends charge $8/h, with a mandatory $5/day fee for each child for snacks.

(a) Write an equation to show the cost of using Beatrice’s babysitting service each day, where x is the number of hours and y is the total cost.

(b) A mother pays Beatrice $61 after picking up her daughter from babysitting. How many hours did Beatrice babysit the daughter? Show your work.

(c) Beatrice is thinking of charging a different rate for infants. She writes the expression y = 9x + 3 to represent how much she wants to charge for infants. Explain what the expression means in a real-world context