Use the table to answer the question.

x
(Miles Run) y
(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=195−7.3x
. 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)
Responses

130 pounds and extrapolation
130 pounds and extrapolation

143.9 pounds and extrapolation
143.9 pounds and extrapolation

143.9 pounds and interpolation
143.9 pounds and interpolation

130 pounds and interpolation
130 pounds and interpolation
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1 answer

To find the weight of a cheetah that runs 7 miles using the given line of best fit \( y = 195 - 7.3x \), we can substitute \( x = 7 \) into the equation:

\[ y = 195 - 7.3(7) \] \[ y = 195 - 51.1 \] \[ y = 143.9 \]

The calculated weight of the cheetah that runs 7 miles is 143.9 pounds.

Now, regarding extrapolation or interpolation: The given data includes miles run values of 1, 3, 5, 8, and 10. Since 7 miles is not part of the dataset and falls outside of the range of the given data, this would be considered extrapolation.

Thus, the answer is:

143.9 pounds and extrapolation.