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 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 \(y = 195 - 7.3x\), we can substitute \(x = 7\) into the equation:

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

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

Next, we need to determine whether this is an extrapolation or an interpolation. The given data only includes runs up to 8 miles, so we are estimating the weight for a distance (7 miles) that falls within the range of the dataset.

Thus, this calculation represents interpolation.

The correct response is: 143.9 pounds and interpolation.