Two hot air balloons are flying above a park. One balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate of 40 feet per minute. The second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground.

Given that his the height of the balloons after m minutes, determine which system of equations represents this situation.

A. h = 3,000 + 40m
h = 1,200 - 50m

B. h = 3,000m - 40
h = 1,200m + 50

C. h = 3,000 - 40m
h = 1,200 + 50m

D. m = 3,000 - 40h
m = 1,200 + 50h

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Two hot air balloons are flying above a park.

One balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate of 40 feet per minute.

The second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground.

How do find the equation of the balloons?

Let m be the rate of the balloon and c be the height of the balloon.

If the rate is increasing then take it as positive else negative.

We know the linear equation y = mx + c

One balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate of 40 feet per minute. Then equation will be

y = -40x + 3000

The second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground. The equation will be

y = 50x + 1200

Thus, Option B is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472