Philip J. Fry, a courier for Planet Express, is on a long run. A very long run.
ID: 3034991 • Letter: P
Question
Philip J. Fry, a courier for Planet Express, is on a long run. A very long run. And he's starting to feel an urge coming on. A rest stop is coming up. and so is his half-hour lunch break. His distance from the rest stop can be modeled by D = 0.12t + 3.3 Where D is the distance in parsecs. t minutes from the rest stop. With any luck. Fry will arrive at the rest stop during his break, so that he might find the relief he needs. His instruments aren't working so well, so Fry estimates he is anywhere from 8 to 16 parsecs from the rest stop. Based on Fry's estimate of his distance from the rest stop, during what time window (in minutes) will he arrive there? Write your answer in interval notation. Since the function is given in decimals, your answer should be in decanals. Round your answer to at least 2 decimal places.Explanation / Answer
D = 0.12t + 3.3
8 < D < 16
So, solve the inequality to get the time window
8 < 0.12t + 3.3 < 16
8 - 3.3 < 0.12t < 16 -3.3
4.7 < 0.12t < 12.7
4.7/0.12 < 0.12t/0.12 < 12.7/0.12
39.17 < t < 105.83
( 39.17 , 105.83)