Question

ravi is a 16 - year - old high school student who has a part - time job after school. he is looking to see if there are any trends that relate monthly income to monthly clothing purchases among his high school peers. he thinks these two variables might be related and wants to investigate them using a scatter plot. below is a list of ordered pairs (x, y) where x represents the monthly income and y represents monthly clothing expenses for 10 of his classmates.
(205,36), (242,45), (268,57), (296,63), (303,69),
(327,64), (339,75), (344,80), (355,82), (380,84)

Explanation:

Step1: Identify the task

The task is to create a scatter - plot using the given ordered pairs where the first element of each pair is the monthly income ($x$) and the second element is the monthly clothing expenses ($y$).

1. On graph paper or using a graphing tool like Desmos:

• For each ordered pair $(x,y)$:
• Locate the $x$ - value on the horizontal axis (usually the $x$ - axis represents the independent variable, in this case, monthly income).
• Locate the $y$ - value on the vertical axis (usually the $y$ - axis represents the dependent variable, in this case, monthly clothing expenses).
• Plot a point at the intersection of the $x$ and $y$ values for each ordered pair. For example, for the pair $(205,36)$, find 205 on the $x$ - axis and 36 on the $y$ - axis and mark a point.
• Repeat this process for all the ordered pairs: $(242,45),(268,57),(296,63),(303,69),(327,64),(339,75),(344,80),(355,82),(380,84)$.

Answer:

A scatter - plot with points plotted according to the given ordered pairs $(x,y)$ where $x$ is monthly income and $y$ is monthly clothing expenses.