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 interpolation
130 pounds and interpolation
143.9 pounds and extrapolation
143.9 pounds and extrapolation
130 pounds and extrapolation
130 pounds and extrapolation
143.9 pounds and interpolation
1 answer
To find the weight of a cheetah that runs 7 miles using the line of best fit \( y = 195 - 7.3x \), we substitute \( x = 7 \) into the equation:
\[ y = 195 - 7.3(7) \] \[ y = 195 - 51.1 \] \[ y = 143.9 \]
The estimated weight of a cheetah that runs 7 miles is 143.9 pounds.
Since 7 miles is outside the range of miles (0 to 10) that were provided in the dataset, this would be considered extrapolation.
Thus, the correct answer is:
143.9 pounds and extrapolation.
1 answer
1 answer
1 answer
1 answer