Write an equation that shows how the drone's elevation in meters, y, depends on the number of seconds it has been flying, x.
Understand the Problem
The question is asking for an equation that relates the drone's elevation in meters, denoted as y, to the time in seconds, denoted as x. The drone starts at an elevation of 1 meter and climbs at a rate of 1 meter per second.
Answer
The equation is $y = 1 + x$.
Answer for screen readers
The equation relating the drone's elevation to time is: $$ y = 1 + x $$
Steps to Solve
- Identify initial elevation and climb rate
The drone starts at an initial elevation of 1 meter and climbs at a rate of 1 meter per second.
- Set up the equation
The elevation in meters, $y$, can be represented as the initial elevation plus the rate of climb multiplied by the time in seconds, $x$.
This can be expressed as: $$ y = 1 + 1 \cdot x $$
- Simplify the equation
By simplifying the equation, we combine the terms: $$ y = 1 + x $$
The equation relating the drone's elevation to time is: $$ y = 1 + x $$
More Information
This equation shows that for every second the drone flies, it will rise by 1 meter above its starting elevation of 1 meter. Therefore, after 5 seconds, for example, the drone will be at a height of 6 meters.
Tips
- Forgetting to include the initial height of 1 meter.
- Miscalculating the rate of elevation change.
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