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?

1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

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