Jenna just bought a new fish tank. As she fills it with water, the weight changes.

Question

There is a linear relationship between the amount of water in the tank, in liters, and the weight of the tank, in kilograms.
Describe the rate of change for this relationship.
The weight of the tank
by
per liter of

Answer 1

The rate of change for the relationship between the amount of water in the tank (in liters) and the weight of the tank (in kilograms) can be described as follows:

The weight of the tank increases by a constant amount (the weight of 1 liter of water) for every liter of water added.

Typically, the weight of 1 liter of water is approximately 1 kilogram. Therefore, you can describe the rate of change as:

The weight of the tank increases by 1 kilogram for every liter of water added.

In mathematical terms, the rate of change can be expressed as:

Weight (kg) = Weight of empty tank (kg) + 1 kg/liter × Volume of water (liters).

This indicates that for every liter of water added, the total weight of the tank increases by 1 kilogram.