Question

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

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

Answer 1

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

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

Calculating this gives:

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

Thus, the weight of a cheetah that runs 7 miles is \( 143.9 \) pounds.

Next, we determine whether this is an example of extrapolation or interpolation.

- **Interpolation** is estimating a value within the range of the data provided (in this case, between 1 and 10 miles).
- **Extrapolation** is estimating a value outside the range of the data.

Since the data provided includes miles run from 1 to 10, and 7 miles is within this range, we are performing interpolation.

The correct response is:

**143.9 pounds and interpolation**.