High School

The function [tex]g(x) = -150x + 900[/tex] represents the altitude (in feet) of a second paraglider x minutes from the time the paraglider begins a descent to the same landing site. Both paragliders start their descent at the same time.

Who reaches an altitude of 100 feet first?

A. First paraglider
B. Second paraglider

Explain.

Answer :

Final answer:

The time it takes for the second paraglider to reach an altitude of 100 feet is approximately 5.33 minutes. However, without information about the descent of the first paraglider, we cannot determine which one reaches that altitude first.

Explanation:

The question is asking which paraglider reaches an altitude of 100 feet first.

The function for the second paraglider's descent is g(x) = -150x + 900, which represents the altitude (in feet) X minutes after the paraglider starts their descent.

To find out when the paraglider reaches a particular altitude, we can set the function equal to that altitude and solve for x, the time in minutes. So, we have -150x + 900 = 100.

Therefore, -150x = 100 - 900 which simplifies to -150x = -800. Solving for x, we get x = -800 / -150 which equals approximately 5.33 minutes.

Since the information about the first paraglider's descent is not provided, it cannot be determined which of them reaches the altitude of 100 feet first.

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