Roberto's employer offers a sliding paid vacation. When he started work, he was given three paid days of vacation. For each six month period he stays at the job, his vacation is increased by two days.

a. Let x represent the number of 6-month periods worked and y represent the total number of paid vacation days. Write an equation that models the relationship between these two variables.

b. How much vacation time will he have earned after working 4.4 years?

Question

Mathematics

Owen Roberts

2 August, 14:47

Roberto's employer offers a sliding paid vacation. When he started work, he was given three paid days of vacation. For each six month period he stays at the job, his vacation is increased by two days.

a. Let x represent the number of 6-month periods worked and y represent the total number of paid vacation days. Write an equation that models the relationship between these two variables.

b. How much vacation time will he have earned after working 4.4 years?

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Answers (1)

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Harper Perez · Answer 1

y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start. Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19