Question

The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 200 seconds to boil 2.7 litres of water.
Work out how much water is in the pot if it boils in 220 seconds.

1. thachthao
The relationship between the time it takes to boil a pot of water, T (in seconds), and the amount of water, A (in litres),
T ∝ A,
setting up the equation and solving:
2.96 liters of water will boils in 220 seconds.

### what is equation?

An equation is a mathematical statement that shows that two expressions are equal.

### what is proportionality constant?

A proportionality constant is a coefficient that relates two quantities that are proportional to each other. In other words, if two quantities are proportional, their ratio is always the same, and this constant ratio is the proportionality constant.
This proportionality can be written as an equation by introducing a constant of proportionality, k:
T = k * A
We are given that it takes 200 seconds to boil 2.7 litres of water, so we can set up an equation using this information:
200 = k * 2.7
Solving for k, we find that k = 200/2.7 = 74.07407407407407.
Now that we know the value of the constant of proportionality, we can use it to find the amount of water in the pot if it boils in 220 seconds. We can set up the following equation:
220 = 74.07407407407407 * A
Solving for A, we find that the amount of water in the pot is A = 220 / 74.07407407407407 = 2.962962962962963 litres.