Question

YALL PELASE I turn this in tmrw I already have the answer I jist need to show work pls help me

Answer 1

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Problem (A): the amount of vacation time after working 3.5 years

   ⇒ 3.5 years has 7 six-month-periods

      ⇒ let's plug into the equation, y = 3 + 2x, which calculates the

           number of vacation days after 'x' six-month periods            

$\hookrightarrow \text{Number of Vacation days after 3.5 years} = 3+2(7) = 3 + 14 = 17$

Problem B: the number of years necessary 22 vacation days

    ⇒ let's plug the number of vacation days into 'y'

        ⇒ to calculate the number of 'x' six-month periods

              $22 = 3 + 2x\\19=2x\\x = 9.5$

        ⇒ every year has two six-month periods, so:

              $\frac{1 \text{ year}}{2 \text{ six-month period}} *9.5 \text{ six-month period}\\=\frac{9.5}{2}\text{ years} =4.75 \text{ years}$

Answer:

• Part(A): 17 vacation days
• Part (B): 4.75 years

Hope that helps!

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