In the given expression -375x + 1,500, the -375 represents the rate of descent of the hot air balloon in this context.
Here's why:
1. The coefficient -375 is associated with the variable x, which represents time in minutes. This indicates that the altitude of the hot air balloon is decreasing by 375 feet every minute.
2. The negative sign indicates that the altitude is decreasing, as the balloon is descending. If the coefficient were positive, it would imply an ascent.
3. Therefore, the -375 in the expression represents the rate of descent of the hot air balloon, showing how fast it is descending in terms of feet per minute.
Understanding this helps in interpreting the mathematical model and visualizing how the altitude of the hot air balloon changes over time as it descends.
