Use the table to answer the question.

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
𝑦
=
195
−
7.3
𝑥
. 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

143.9 pounds and extrapolation
143.9 pounds and extrapolation

130 pounds and interpolation
130 pounds and interpolation

143.9 pounds and interpolation
143.9 pounds and interpolation

130 pounds and extrapolation

Answer 1

To find the weight of a cheetah that runs 7 miles using the given line of best fit equation \( y = 195 - 7.3x \), 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, we need to determine whether this situation involves extrapolation or interpolation. Interpolation means predicting a value within the range of the data provided, while extrapolation involves predicting a value outside of that range. The given data covers miles run from 1 to 10, so since 7 miles falls within this range, we are using interpolation.

Thus, the answer is:

143.9 pounds and interpolation.