Question

Jenny started a new job that gave her 5 days of paid vacation as a benefit, and added one day of paid vacation for every year thereafter, to a maximum of 20 days. Write an equation that represent this relationship.

Answer 1

The equation that represents the relationship between the number of years worked and the number of paid vacation days is Y = min(5 + Y - 1, 20), where Y is the number of years worked.

Step-by-step explanation:

The relationship between the number of years worked and the number of paid vacation days can be represented by the equation: Y = 5 + Y - 1, where Y is the number of years worked.

To account for the maximum of 20 days, the equation would be: Y = min(5 + Y - 1, 20). This means that the number of paid vacation days will increase by one for each year worked, but will not exceed 20 days.

For example, if Jenny worked for 3 years, the equation would be: Y = 5 + 3 - 1 = 7. So, Jenny would have 7 days of paid vacation.

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