Question

A bird takes off from the ground and flies up at a rate of 4 ft per second. A leaf drops from a tree from a height of 21ft

and floats to the ground at a rate of 3 ft per second.
a. Write a system of equations to model this situation.

Answer 1

Step-by-step explanation:

To model this situation, we can set up two equations: one for the bird and one for the leaf.

For the bird, we can let t be the time in seconds and h be the height of the bird in feet. We know that the bird flies up at a rate of 4 feet per second, so we can write the equation:

h = 4t

This equation represents the height of the bird at any given time t.

For the leaf, we can also let t be the time in seconds and h be the height of the leaf in feet. We know that the leaf drops from a height of 21 feet and floats to the ground at a rate of 3 feet per second, so we can write the equation:

h = 21 - 3t

This equation represents the height of the leaf at any given time t.

Together, these two equations form a system of equations that can be used to model the situation.