Davis is trying to decide between two part time jobs on Saturdays. He could make $16.25 per hour working at the city's ice arena, but getting to work and back would cost him $7.50 round trip for travel. His other option is to work as a dog walker in his neighborhood for $12.50 per hour but he can ride his bike or walk there for free. He estimates he could work up to 7 hours at the arena but up to 10 hours walking dogs. He always works at least 1 hour if he goes to the arena. 1. Write two different functions that represent Davis's gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs. 2. State the domain and range for each function. 3. If Davis works 1 hour, what would be his gross pay at each job? What if he worked 6 hours? 4. Davis wants to know what his net pay, also called take-home pay, is going to be. Assume that 10.5% of just his paycheck, not his travel expenses, is withheld for taxes at the arena. Because dog walking is a self-employed activity, Davis estimates he needs to set aside 18% of his income for taxes. Modify your functions from question 1 to model net pay including these tax withholdings. 5. State the domain and range for each of these new functions.