Question

A hot air balloon is descending at a rate of 287 feet per minute.

Find the total change in elevation of the balloon in 4 minutes.

Answer 1

To find the total change in elevation of the hot air balloon, simply multiply the descent rate of 287 feet per minute by 4 minutes, which equals 1148 feet.

Step-by-step explanation:

The student has asked how to calculate the total change in elevation of a hot air balloon that is descending at a rate of 287 feet per minute over a period of 4 minutes. To find the total change in elevation, we can simply multiply the descent rate by the number of minutes. The calculation is as follows:

287 feet/minute × 4 minutes = 1148 feet

Therefore, the total change in elevation for the hot air balloon after 4 minutes is 1148 feet.

Answer 2

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the rate of change or slope

• b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.