a curious traveler asked this question on stack exchange: a flight from los angeles to albuquerque is about 2 hours but is approximately equal to 670.2miles. a flight from san jose to chicago is 4 hours but is approximately equal to 1859.0 miles. can anyone explain why the travel time from san jose to chicago is not longer and closer to 5.75 hours? if the distance increase by 2, shouldn't the time increase by a factor of 2 as well? a) write a linear model for this question. takeoff and landing will take a fixed amount of time. actual travel in the air will take time proportional to the distance traveled. identify the slope and intercept with their units. b) use the data in the quotation to estimate the two constants in your linear model.
a curious traveler asked this question on stack exchange:
a flight from los angeles to albuquerque is about 2 hours but is approximately equal to 670.2miles. a flight from san jose to chicago is 4 hours but is approximately equal to 1859.0 miles. can anyone explain why the travel time from san jose to chicago is not longer and closer to 5.75 hours? if the distance increase by 2, shouldn't the time increase by a factor of 2 as well?
a) write a linear model for this question. takeoff and landing will take a fixed amount of time. actual travel in the air will take time proportional to the distance traveled. identify the slope and intercept with their units.
b) use the data in the quotation to estimate the two constants in your linear model.
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