To represent the situation, we need to set up equations based on the height of the egg over time for both parachute designs.
Given:
- The height from which both eggs are dropped is 10 feet.
- The rate of descent for the first design is 5 feet per second, and for the second design, it is 3 feet per second.
The height \(y\) decreases as time \(x\) increases. We can think of the height of the egg at time \(x\) as starting from 10 feet and decreasing with time at the given rates.
For the first design (5 feet/second):
- The equation would be: \(y = 10 - 5x\)
For the second design (3 feet/second):
- The equation would be: \(y = 10 - 3x\)
Thus, the system of equations representing the situation is:
\[ \begin{align*} y &= 10 - 5x \ y &= 10 - 3x \end{align*} \]
So the correct answer is:
{y=10−5xy=10−3x}