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

130 pounds and interpolation
130 pounds and interpolation

143.9 pounds and interpolation
143.9 pounds and interpolation

143.9 pounds and extrapolation

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 calculated weight of a cheetah that runs 7 miles is 143.9 pounds.

Next, we need to determine whether this is interpolation or extrapolation. Interpolation refers to estimating a value within the range of the data provided, while extrapolation refers to estimating a value outside of that range.

The provided data includes values of miles run ranging from 1 to 10 miles, thus 7 miles is within this range.

Therefore, the correct response is:

143.9 pounds and interpolation.