One possible function that describes a relationship between two quantities is a linear function.

A linear function can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope represents the rate of change between the two quantities, while the y-intercept represents the initial value of the dependent variable.

For example, let’s say we have a relationship between the number of hours studied (x) and the test score achieved (y). We can define a linear function to describe this relationship as:

y = 2x + 70

In this case, the slope is 2, indicating that for every additional hour studied, the test score increases by 2 points. The y-intercept is 70, indicating that if no hours are studied, the expected test score is 70.

This linear function can be used to predict the test score based on the number of hours studied. For example, if a student studies for 5 hours, we can substitute x = 5 into the function:

y = 2(5) + 70 y = 10 + 70 y = 80

Therefore, according to this linear function, if a student studies for 5 hours, the predicted test score would be 80.