A plane takes off and climbs steadily gor 30 minutes until it reaches 35,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which it takes 15 minutes at a constant rate. Determine the domain and range.

Question

Mathematics

Willow Lutz

17 August, 20:47

A plane takes off and climbs steadily gor 30 minutes until it reaches 35,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which it takes 15 minutes at a constant rate. Determine the domain and range.

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Answers (1)

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Moshe Barrett · Answer 1

This is a function where:

x - time in minutes;

y = f (x) - altitude of a plane in feet.

Max altitude = 35,000 feet

0.5 h + 2 h + 15 min = 30 min + 120 min + 15 min = 165 min

Domain:

x ∈ [ 0; 165 ]

Range:

y ∈ [ 0; 35,000 ]