A waitress made $3.14 per hour plus $71 in tips on a Friday evening shift. The amount of money she makes for the night is given by the function P(t)=3.14t+71, where t is the number of hours she worked. How much would a waitress make for 4-hour shift if the pay rate is the same? A 7-hour shift?
Substitute 4 for t in the given function:
P(t)=3.14t+71
P(t)=3.14(4)+71
P(t)=12.56+71
P(t)=83.56
Substitute 7 for t in the given function:
P(t)-3.14t+71
P(t)=3.14(7)+71
P(t)=21.98+71
P(t)=92.98
In 4 hours the waitress makes $83.56 and 7 hours she makes $92.98.