QuestionPrice of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month from February through September 2008. Use the TI-84 Plus calculator to answer the following.
\begin{tabular}{cc}
\hline Dozen Eggs & Gallon of Milk \\
\hline 1.96 & 3.47 \\
1.80 & 3.43 \\
1.77 & 3.58 \\
1.65 & 3.40 \\
1.89 & 3.52 \\
1.88 & 3.50 \\
1.67 & 3.54 \\
1.83 & 3.47 \\
\hline
\end{tabular}
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Part:
Part 1 of 4
(a) Construct a scatter plot of the price of milk versus the price of eggs .
Price of Eggs (dollars)
Studdy Solution
STEP 1
What is this asking? Show how the price of milk changes as the price of eggs changes using a scatter plot. Watch out! Don't mix up which data is for milk (y-axis) and which is for eggs (x-axis)!
STEP 2
1. Prepare the Data
2. Create the Scatter Plot
STEP 3
Alright future mathematicians!
We've got egg-cellent data here!
Let's **crack** this problem open!
We're given the prices of eggs and milk.
Think of the price of eggs, \(x\), as our **independent variable** – it's what we'll use to predict the price of milk, \(y\), our **dependent variable**.
STEP 4
We need to pair up the prices for each month.
So, for February 2008, we have \(x = 1.96\) for eggs and \(y = 3.47\) for milk.
This gives us our **first data point**: .
See how we put the egg price first and the milk price second?
That's super important!
STEP 5
Do this for all the months!
March is , April is , and so on.
Each pair is like a coordinate on a map, showing us where the prices land for that month.
STEP 6
Now for the fun part!
Let's get visual!
Draw a graph.
The horizontal axis, or x-axis, will be our **egg prices**, and the vertical axis, or y-axis, will be our **milk prices**.
STEP 7
Now, plot each of those data points!
Remember, the first number in each pair is the *x-coordinate* (egg price), and the second number is the *y-coordinate* (milk price).
So, for our first point , go to \(1.96\) on the x-axis and \(3.47\) on the y-axis, and **mark a point** right there!
STEP 8
Do this for all the data points.
You'll start to see a pattern emerge, like a milky way of data points!
This visual representation is our **scatter plot**!
It shows us the relationship between egg and milk prices.
Does it look like there's a connection?
That's what we're trying to figure out!
STEP 9
The scatter plot will show the price of milk on the vertical axis (y-axis) plotted against the price of eggs on the horizontal axis (x-axis) for each month.
Each point represents a month from February through September 2008.
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