Question

an airplane that is flying at an altitude of 30 000 ft is beginning to descend at a rate of 1000 feet per minute. a helicopter is beginning its trip, starting at an altitude of zero feet. the helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute. after how many minutes will the airplane and the helicopter be at the same altitude

Answer 1

Using linear functions, it is found that the airplane and the helicopter will be at the same altitude after 20 minutes.

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 of the function.

The functions that gives the height of the airplane and the helicopter, after t minutes, is given by:

• A(t) = 30000 - 1000t.

• H(t) = 500t.

They will be equal when:

A(t) = H(t).

Hence:

30000 - 1000t = 500t

1500t = 30000

t = 30000/1500

t = 20 minutes.

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

#SPJ1