Two planes left the airport traveling in the same direction. the distance plane a traveled is modeled by the function d (t) = 290t where d represents distance in miles and t represents time in hours. plane b traveled a total of 540 miles in 2 hours. how does the distance plane a traveled in 1 hour compare to the distance plane b traveled in 1 hour?

Question

Stanley Hess

Mathematics

22 February, 16:00

Two planes left the airport traveling in the same direction. the distance plane a traveled is modeled by the function d (t) = 290t where d represents distance in miles and t represents time in hours. plane b traveled a total of 540 miles in 2 hours. how does the distance plane a traveled in 1 hour compare to the distance plane b traveled in 1 hour?

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Answers (1)

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Curtis Mills · Answer 1

Plane 1 travels 20 miles farther than plane 2 in an hour.

Step-by-step explanation:

To compare the distances, compare the speed of each plane. The speed of plane 1 is 290 miles per hour in d (t) = 290t.

Plane 2 travels 540 miles over 2 hours. Its speed is 540/2 = 270 miles per hour.

Plane 1 will travel 20 miles farther than plane 2 in an hour.