The number of letters (n) which can be typed on a sheet of paper varies inversely as the square of the size (s) of the letters used.
n = s2
What is the relationship connecting n and s
The relationship between the number of letters (n) and the size of the letters (s) can be expressed as follows:
n = k/s^2
In this equation, k denotes a constant value that remains the same for a given scenario. The equation states that the number of letters (n) is inversely proportional to the square of the size of the letters (s).
To understand how this relationship works, we need to consider the concept of inverse variation. Inverse variation occurs when two variables change in a way that one variable increases while the other decreases, and vice versa. In this case, as the size of the letters (s) decreases, the number of letters (n) that can be typed on a sheet of paper increases.
The square in the equation indicates that the size of the letters is squared. This means that as the size of the letters is reduced by a factor of 2, the number of letters that can be typed on a sheet of paper would increase by a factor of 4 (2^2 = 4). Similarly, if the size of the letters is tripled (multiplied by 3), the number of letters that can be typed would decrease by a factor of 9 (3^2 = 9).
Overall, this relationship shows that as the size of the letters decreases, a greater number of letters can be fit onto a sheet of paper.