Final answer:
The proportional relationship for p and n where p = 0.75n is one where p is directly proportional to n, with the constant of proportionality being 0.75. It means p increases by 0.75 for each unit increase in n.
Step-by-step explanation:
The question provided involves understanding the proportional relationship between two variables, p and n, where p equals 0.75 times n (p = 0.75n). This equation shows that p is directly proportional to n with the constant of proportionality being 0.75. This means that for every unit increase in n, p increases by 0.75. Proportional relationships like this are commonly used to model real-world situations where one quantity varies linearly with another.
For example, if you were working in a job where you were paid per task completed, and each task was worth $2.50, the relationship between your total pay (p) and the number of tasks completed (n) would be represented by the equation p = 2.50n. In this scenario, the constant of proportionality is 2.50, which is the rate you are paid per task.