A climber is on a hike. After an hour he is at an altitude of 150 feet. After 2 hours, he is at an altitude of 275 feet. After 4 hours, he is at an altitude of 525 feet and after 6 hours, he is at an altitude of 700 feet. Which table could be used to model his climb?

Respuesta :

The table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.

Equation of motion of the climber

The equation that can be used to model the motion of the climber is calculated as follows;

(1, 150)

(2, 275)

(4, 525)

(6, 700)

Slope for the first two hours

m = (275 - 150)/(2 - 1) = 125 ft per hour

Slope for the next 4 hours

m = (700 - 525)/(4 - 2) = 87.5 ft/hr

Thus, the table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.

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