Question
Linear Models
use the tabe to answer me queston.
(Miles Run) (Weight in Pounds)
10
130
1
200
3
167
5
145
8
135
The weight of a cheetah can be based on the number of miles they run a day. The line
of best fit for this dataset is y = 1954- 7.3x. The table represents the scatter plot of
data. Find the weight of a cheetah that runs 7 miles, and state whether extrapolation or interpolation is occurring.
(1 point)
• 143.9 pounds and interpolation
• 130 pounds and extrapolation
• 130 pounds and interpolation
• 143.9 pounds and extrapolation
use the tabe to answer me queston.
(Miles Run) (Weight in Pounds)
10
130
1
200
3
167
5
145
8
135
The weight of a cheetah can be based on the number of miles they run a day. The line
of best fit for this dataset is y = 1954- 7.3x. The table represents the scatter plot of
data. Find the weight of a cheetah that runs 7 miles, and state whether extrapolation or interpolation is occurring.
(1 point)
• 143.9 pounds and interpolation
• 130 pounds and extrapolation
• 130 pounds and interpolation
• 143.9 pounds and extrapolation
Answers
GPT-4o mini
To determine the weight of a cheetah that runs 7 miles using the provided line of best fit equation \( y = 1954 - 7.3x \), we can substitute \( x = 7 \) into the equation:
\[
y = 1954 - 7.3(7)
\]
Calculating \( 7.3 \times 7 \):
\[
7.3 \times 7 = 51.1
\]
Now substitute back into the equation:
\[
y = 1954 - 51.1 = 1902.9
\]
So, the weight of a cheetah that runs 7 miles is approximately **1902.9 pounds**.
Since 7 miles is within the range of the data provided (the maximum miles run in the dataset is 10), we are performing **interpolation** rather than extrapolation.
However, none of the answer choices provided correspond to 1902.9 pounds. Could there be an error in your selections, or is there possibly a typo in the data or calculations provided? If the values from the table and the equation are correct, please verify the choices or any other relevant information.
\[
y = 1954 - 7.3(7)
\]
Calculating \( 7.3 \times 7 \):
\[
7.3 \times 7 = 51.1
\]
Now substitute back into the equation:
\[
y = 1954 - 51.1 = 1902.9
\]
So, the weight of a cheetah that runs 7 miles is approximately **1902.9 pounds**.
Since 7 miles is within the range of the data provided (the maximum miles run in the dataset is 10), we are performing **interpolation** rather than extrapolation.
However, none of the answer choices provided correspond to 1902.9 pounds. Could there be an error in your selections, or is there possibly a typo in the data or calculations provided? If the values from the table and the equation are correct, please verify the choices or any other relevant information.