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 interpolation
143.9 pounds and interpolation

143.9 pounds and extrapolation
143.9 pounds and extrapolation

130 pounds and extrapolation
130 pounds and extrapolation

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:

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

Calculating this:

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

This means that the weight of a cheetah that runs 7 miles is 143.9 pounds.

Now, we need to determine whether this represents extrapolation or interpolation. The original dataset includes miles run values of 1, 3, 5, 8, and 10. Since 7 miles lies within the range of the dataset (from 1 to 10 miles), this is an example of **interpolation**.

So the final answer is:

**143.9 pounds and interpolation.**