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
. 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

Answer 1

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

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

Calculating this:

\[ y = 195 - 51.1 \] \[ y = 143.9 \]

Thus, the weight of a cheetah that runs 7 miles is 143.9 pounds.

Since 7 miles is outside the range of the data provided in the table (which only goes up to 10 miles), this is considered extrapolation.

Therefore, the correct response is:

143.9 pounds and extrapolation.