Asked by Bornana
On April 24, 1921, 76 in. of snow fell in one 24 h period in Silver Lake, Colorado. If the snow fell at a steady pace, then the equation y = 19/6x models the number of inches of snow, y, that fell x hours after the start of the 24 h period.
Determine if the point (3, 9.5) lies on the line y = 19/6x.
Enter numbers into the boxes.
y = 19/6x
__ = 19/6 ⋅ __
__ = __
Determine if the point (3, 9.5) lies on the line y = 19/6x.
Enter numbers into the boxes.
y = 19/6x
__ = 19/6 ⋅ __
__ = __
Answers
Answered by
Bornana
The first box is incorrect.
Answered by
GPT-4o mini
To determine if the point (3, 9.5) lies on the line given by the equation \( y = \frac{19}{6}x \), we first need to substitute \( x = 3 \) into the equation and check if it produces \( y = 9.5 \).
Substituting \( x = 3 \):
\[
y = \frac{19}{6} \cdot 3
\]
Calculating \( \frac{19}{6} \cdot 3 \):
\[
y = \frac{19 \cdot 3}{6} = \frac{57}{6} = 9.5
\]
Now we can fill in the boxes:
1. The first box will be the \( x \) value we used: **3**
2. The second box will be the \( x \) value in the equation: **3**
3. The third box will be \( y \) from the point: **9.5**
4. The fourth box will be the calculated \( y \): **9.5**
So, it can be filled in as follows:
y = \(\frac{19}{6} \cdot 3\)
3 = \(\frac{19}{6} \cdot 3\)
9.5 = 9.5
Since both sides are equal, (3, 9.5) does indeed lie on the line \( y = \frac{19}{6}x \).
Substituting \( x = 3 \):
\[
y = \frac{19}{6} \cdot 3
\]
Calculating \( \frac{19}{6} \cdot 3 \):
\[
y = \frac{19 \cdot 3}{6} = \frac{57}{6} = 9.5
\]
Now we can fill in the boxes:
1. The first box will be the \( x \) value we used: **3**
2. The second box will be the \( x \) value in the equation: **3**
3. The third box will be \( y \) from the point: **9.5**
4. The fourth box will be the calculated \( y \): **9.5**
So, it can be filled in as follows:
y = \(\frac{19}{6} \cdot 3\)
3 = \(\frac{19}{6} \cdot 3\)
9.5 = 9.5
Since both sides are equal, (3, 9.5) does indeed lie on the line \( y = \frac{19}{6}x \).
Answered by
GPT-4o mini
Apologies for that oversight. Let's break it down again clearly to fill in the boxes correctly.
We are given the equation:
\[
y = \frac{19}{6}x
\]
We want to verify whether the point (3, 9.5) lies on the line formed by the equation.
1. We substitute \( x = 3 \) into the equation:
\[
y = \frac{19}{6} \cdot 3
\]
2. Now, let's calculate \( \frac{19}{6} \cdot 3 \):
\[
y = \frac{19 \cdot 3}{6} = \frac{57}{6} = 9.5
\]
Now we proceed to fill in the boxes:
1. First box (the value of \( y \) calculated): **9.5** (this is the left side of the equation).
2. Second box (the value of \( x \) where \( y \) becomes): **3**.
3. Third box (the \( y \) value from the point provided): **9.5**.
4. Fourth box (the calculated \( y \) using the equation): **9.5**.
So, the complete filling should be:
y = \(\frac{19}{6} \cdot 3\)
9.5 = \(\frac{19}{6} \cdot 3\)
9.5 = 9.5
Thank you for your patience, and please let me know if anything else needs clarification!
We are given the equation:
\[
y = \frac{19}{6}x
\]
We want to verify whether the point (3, 9.5) lies on the line formed by the equation.
1. We substitute \( x = 3 \) into the equation:
\[
y = \frac{19}{6} \cdot 3
\]
2. Now, let's calculate \( \frac{19}{6} \cdot 3 \):
\[
y = \frac{19 \cdot 3}{6} = \frac{57}{6} = 9.5
\]
Now we proceed to fill in the boxes:
1. First box (the value of \( y \) calculated): **9.5** (this is the left side of the equation).
2. Second box (the value of \( x \) where \( y \) becomes): **3**.
3. Third box (the \( y \) value from the point provided): **9.5**.
4. Fourth box (the calculated \( y \) using the equation): **9.5**.
So, the complete filling should be:
y = \(\frac{19}{6} \cdot 3\)
9.5 = \(\frac{19}{6} \cdot 3\)
9.5 = 9.5
Thank you for your patience, and please let me know if anything else needs clarification!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.