Question

When Marissa started work, she was given two paid days of vacation. For each four month period she stays at the job, her vacation is increased by one day. How much vacation time will she have after working for 6.5 years? Clearly show your work.

Answer 1

Marissa will have 21.5 days of vacation after working for 6.5 years.

Step-by-step explanation:

To calculate the vacation time Marissa will have after working for 6.5 years, we need to determine how many four-month periods she has been at the job. Since each four-month period adds one day of vacation, we can divide the total number of months worked by four to find the number of periods. 6.5 years is equivalent to 78 months. Dividing 78 by 4 gives us 19.5, which means Marissa has been at the job for 19.5 four-month periods. Adding the initial two days of vacation to this, Marissa will have a total of 21.5 days of vacation after working for 6.5 years.

Answer 2

The correct answer is 21.5 days

Step-by-step explanation:

We know Marissa has two paid days of vacation plus 1 day for every four months she works. In this context, the first step is to find how much paid days of vacation she will have for working 6.5 years and add this to the 2 paid days of vacation she was given when she began to work. The steps are shown below:

1. Find the number of months in 6.5 by considering each year has 12 months and half year (0.5) is equivalent to 6 months

6 (number of years) x 12 months = 72 months

0.5 year = 6 months

72 months + 6 months = 78 months (Total of months in 6.5 years)

2. Divide the total of months into 4 considering every 4 months Marissa is given one paid day of vacation.

78 months ÷ 4 = 19.5 days (number of paid days of vacation for working 6.5 years)

Finally, add this result to the two paid days initially given 19.5 days + 2 days = 21.5 days