Question

Amy gets paid by the hour. Her little sister helps. As shown below, Amy gives her sister part of her earnings. Which equation represents Amy's pay when her sister's pay is $13?

Answer 1

13 =
`(x)/(5)`

Explanation:

The first thing we need to do in this scenario is create an equation that represents the Amy's pay. We first need to find the portion of pay that Amy is giving her sister. We do this by dividing Amy's pay from her Sisters using the data attached below.

2 / 10 = 0.20 or 1/5

4 / 20 = 0.20 or 1/5

Therefore, we can see that her sisters earnings are 1/5 of Amy's pay. Therefore, we can simply multiply 1/5 to Amy's pay every time to get her sister's earnings (y). Which would give us the following formula...

y =
`(1)/(5)`x ... we can simplify this into...

y =
`(x)/(5)`

Finally, we can substitute y for the $13 that her sister earned to get the final equation for this exact scenario.

13 =
`(x)/(5)`