Subjects algebra

Malik Ascension

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1. **State the problem:** We have two ascensions, Mila's and Malik's, with altitude vs time data points. We want to analyze Malik's ascension line passing through points (1, 693) and (2, 1386). 2. **Find the slope of Malik's line:** The slope $m$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1386 - 693}{2 - 1} = \frac{693}{1} = 693.$$ 3. **Find the equation of Malik's line:** Using point-slope form with point (1, 693), $$y - 693 = 693(x - 1)$$ Simplify: $$y = 693x - 693 + 693 = 693x.$$ 4. **Interpretation:** Malik's altitude increases by 693 feet every hour, starting from 0 at time 0. 5. **Summary:** Malik's altitude as a function of time is $$y = 693x,$$ where $x$ is time in hours and $y$ is altitude in feet.