Two students were testing the parachute designs they made for an egg drop project posted and drop their egg from a height of 10 ft one diagram made by the egg salad rate of 5 ft per second the other design made egg fall out of rate of 3 ft per second thanks represents the time and seconds that the egg falls and why represents the height of the egg which system of equations represents the situation described

Question

Y = 10 - 5 x y = 10 - 3x y = -5x y = -3x y equals 5x - 10 y = 3x - 10 y equals 10 + 5x y = 10 + 3x

Answer 1

To represent the situation described — where one egg falls from a height of 10 feet at a rate of 5 feet per second, and the other egg falls at a rate of 3 feet per second — we can create equations for the heights of each egg over time.

1. For the egg that falls at 5 ft/s:

   • The height \( y_1 \) of the egg at time \( x \) (in seconds) can be represented as: \[ y_1 = 10 - 5x \] This equation indicates that the egg starts at a height of 10 feet and decreases by 5 feet for every second that passes.

2. For the egg that falls at 3 ft/s:

   • The height \( y_2 \) of the egg at time \( x \) can be represented as: \[ y_2 = 10 - 3x \] This equation indicates that the egg also starts at a height of 10 feet, but decreases by 3 feet for every second that passes.

Thus, the two equations that represent the situation are:

1. \( y = 10 - 5x \) (for the first egg)
2. \( y = 10 - 3x \) (for the second egg)

From the options provided, the correct representations are:

• \( y = 10 - 5x \)
• \( y = 10 - 3x \)

None of the other equations given (such as \( y = -5x \), \( y = -3x \), \( y = 5x - 10 \), \( y = 3x - 10 \), \( y = 10 + 5x \), \( y = 10 + 3x \)) accurately describe the situation.