Question

Jared earns 0.25 vacation days for every week that he works in a calender year. He also gets 10 paid company holidays per year. Write a verbal model and an algebraic expression to represent the amount of time he gets off work in a year after working for w weeks and identify the units for the expression.

Answer 1

The amount of vacation hours he has can be modeled with the equation V = .25w + 10, in which V is equal to vacation days and d is equal to the number of weeks he worked.

We can tell this because he gets 10 days off no matter what. This is called a constant and is always added to the end of the equation.

We can also tell this because the number of weeks he worked gets multiplied by a quarter of a day. Therefore, he gets a vacation day for every 4 weeks he works.

This model will successfully tell you how many he has at the end of the year.