For a private lesson, rate, R, depends on the number of hours, h. If a student takes 6 or fewer hours, they pay at flat fee of $100 and $160 per hour. If a student takes more than six hours, they pay a flat fee of $800 for the first six hours and an additional $160 for each additional credit.

What is the rate for 8 hours of lesson?
b) (3 pts)'Express the tuition functions R(h) as a piecewise function with two pieces. Each piece should be a linear function.
c) (3 pts) If the rate is $1880, how many hours of lessons were taken?
d) (2 pts) Please use plain language to interpret the vertical intercept and slope?