Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Let's analyze Mia's steps carefully.
We are trying to find the slope of the trend line through the points \((3, 10)\) and \((35, 91)\). The slope formula is given by:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Given points:
[tex]\[ (x_1, y_1) = (3, 10) \][/tex]
[tex]\[ (x_2, y_2) = (35, 91) \][/tex]
Following this formula, we should calculate:
[tex]\[ \text{slope} = \frac{91 - 10}{35 - 3} \][/tex]
Calculating the differences:
[tex]\[ y_2 - y_1 = 91 - 10 = 81 \][/tex]
[tex]\[ x_2 - x_1 = 35 - 3 = 32 \][/tex]
Thus, the correct slope calculation should be:
[tex]\[ \text{slope} = \frac{81}{32} \][/tex]
Now, let's look at Mia's steps:
Step 1: \(\frac{3 - 35}{10 - 91}\)
This step results in:
[tex]\[ \frac{3 - 35}{10 - 91} = \frac{-32}{-81} \][/tex]
Step 2: \(\frac{-32}{-81}\) simplifies to:
[tex]\[ \frac{32}{81} \][/tex]
In these steps, it is clear that Mia has subtracted in the order \(\frac{x_1 - x_2}{y_1 - y_2}\) instead of the correct denominator-over-numerator order \(\frac{y_2 - y_1}{x_2 - x_1}\). This means she subtracted the coordinates in the wrong order.
Thus, the first error Mia made was:
[tex]\[ \text{Mia subtracted in the wrong order.} \][/tex]
So the correct choice is:
[tex]\[ \text{Mia subtracted in the wrong order.} \][/tex]
We are trying to find the slope of the trend line through the points \((3, 10)\) and \((35, 91)\). The slope formula is given by:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Given points:
[tex]\[ (x_1, y_1) = (3, 10) \][/tex]
[tex]\[ (x_2, y_2) = (35, 91) \][/tex]
Following this formula, we should calculate:
[tex]\[ \text{slope} = \frac{91 - 10}{35 - 3} \][/tex]
Calculating the differences:
[tex]\[ y_2 - y_1 = 91 - 10 = 81 \][/tex]
[tex]\[ x_2 - x_1 = 35 - 3 = 32 \][/tex]
Thus, the correct slope calculation should be:
[tex]\[ \text{slope} = \frac{81}{32} \][/tex]
Now, let's look at Mia's steps:
Step 1: \(\frac{3 - 35}{10 - 91}\)
This step results in:
[tex]\[ \frac{3 - 35}{10 - 91} = \frac{-32}{-81} \][/tex]
Step 2: \(\frac{-32}{-81}\) simplifies to:
[tex]\[ \frac{32}{81} \][/tex]
In these steps, it is clear that Mia has subtracted in the order \(\frac{x_1 - x_2}{y_1 - y_2}\) instead of the correct denominator-over-numerator order \(\frac{y_2 - y_1}{x_2 - x_1}\). This means she subtracted the coordinates in the wrong order.
Thus, the first error Mia made was:
[tex]\[ \text{Mia subtracted in the wrong order.} \][/tex]
So the correct choice is:
[tex]\[ \text{Mia subtracted in the wrong order.} \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.