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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

143.9 pounds and extrapolation
143.9 pounds and extrapolation

130 pounds and extrapolation
130 pounds and extrapolation

130 pounds and interpolation
130 pounds and interpolation

143.9 pounds and interpolation

1 answer

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

  1. Substitute \( x = 7 \) into the equation: \[ y = 195 - 7.3(7) \] \[ y = 195 - 51.1 \] \[ y = 143.9 \]

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

Since 7 miles is outside the range of miles run represented in the data set (which goes from 1 to 10 miles), this is considered extrapolation.

The correct response is: 143.9 pounds and extrapolation.