Question

The equation Y equals 0.5 X could represent a variety of different situations write a description of a situation represented by this equation what quantities X and Y represent in your situation

Answer 1

The equation Y equals 0.5 X can represent the amount of money earned (Y) being directly proportional to the number of hours worked (X), with a pay rate of $0.50 per hour.

It exemplifies a linear relationship with variables X and Y, corresponding to hours worked and money earned, respectively.

Step-by-step explanation:

The equation Y equals 0.5 X can represent a situation where Y is directly proportional to X.

For example, let's consider a scenario where Y represents the amount of money earned and X represents the number of hours worked. If you are paid $0.50 for every hour you work, then for every unit increase in X (hours worked), Y (amount of money earned) increases by half of that unit.

This situation demonstrates a linear relationship between hours worked and money earned.

Numerical example: If you work 10 hours, X equals 10 and Y would then equal 0.5 multiplied by 10, which is 5. Therefore, you would earn $5.

Here, X and Y are variables, with X representing hours worked and Y representing money earned. This is a simple linear equation where the slope (m) is 0.5 and there is no y-intercept (b).