Question

A plane is descending from an altitude of 8,000 feet. The plane
descends at a constant rate of 500 feet per minute.
Which function can be used to determine the height, H, of the plane
after m minutes?

Answer 1

The linear function that can be used to determine the height, H, of the plane after m minutes is given by:

H(m) = 8000 - 500m

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem:

• The plane is descending from an altitude of 8,000 feet, hence the y-intercept is b = 8000.

• The plane descends at a constant rate of 500 feet per minute, hence the slope is of m = -500.

Thus, the equation is:

H(m) = 8000 - 500m.

More can be learned about linear functions at https://brainly.com/question/24808124