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 143.9 pounds and interpolation 143.9 pounds and interpolation 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

Answer 1

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

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

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

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

- **Interpolation** occurs when we estimate a value within the range of the data.
- **Extrapolation** occurs when we estimate a value outside the range of the data.

Looking at the data in the table, the maximum miles run is 8 miles. Since 7 miles is between 1 and 8 miles, this is an example of **interpolation**.

Thus, the correct response is:

**143.9 pounds and interpolation.**