Question

Amanda has a barrel that collects rainwater. As the rainwater evaporates, the height of the rainwater changes from 35.59cm to 23.03cm in over a period of 3 2/4 hours. (3 and two fourths). What is the average change in the height of the rainwater each hour? Explain or show your work !!! :)

Answer 1

The model that represents the equation -4x + (-2) = 3x + (-5) is:

4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles.

Step-by-step explanation:

Answer 2

The average change in the height of the rainwater each hour is found by subtracting the final water level from the initial level and dividing by the number of hours. The average change is approximately 3.35 cm per hour.

Step-by-step explanation:

To determine the average change in the height of the rainwater in Amanda's barrel each hour, we take the initial height of the water (35.59 cm) and subtract the final height after evaporation (23.03 cm), then divide the result by the total number of hours over which the change occurred (3.75 hours).

So, the calculation for the average change in height per hour is:

1. Calculate the total change in height: 35.59 cm - 23.03 cm = 12.56 cm.
2. Convert the time from 3 2/4 hours to a decimal form: 3 2/4 = 3 + 0.5 = 3.75 hours.
3. Determine the average change per hour: 12.56 cm / 3.75 hours = 3.35 cm/hour (approximately).

This means that the average change in height of the water due to evaporation is about 3.35 cm per hour.