Explanation
We are given that Meagan earned $550 at her job in 4 weeks.
We are required to find how many weeks it would take her to make $5000.
First, we need to find the rate at which she works per week as follows:
[tex]\begin{gathered} Since\text{ }4\text{ weeks = \$550} \\ 1\text{ }week=\frac{550}{4} \end{gathered}[/tex]
To determine how many weeks it would take her to earn $5000, we need to divide the amount earned after x weeks by the rate as follows:
[tex]\begin{gathered} 1\text{ }week=\frac{550}{4} \\ x\text{ }weeks=5000\div\frac{550}{4}=5000\times\frac{4}{550} \\ =36.36363636\text{ weeks} \end{gathered}[/tex]
Hence, the answer is 36.36363636 weeks.
