Question

Set up a proportion for each word problem and solve the problem

Answer 1

Step-by-step 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:

`\begin{gathered} Since\text{ }4\text{ weeks = \$550} \\ 1\text{ }week=(550)/(4) \end{gathered}`

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:

`\begin{gathered} 1\text{ }week=(550)/(4) \\ x\text{ }weeks=5000/(550)/(4)=5000*(4)/(550) \\ =36.36363636\text{ weeks} \end{gathered}`

Hence, the answer is 36.36363636 weeks.