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 195-7.3z. 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)

130 pounds and interpolation

130 pounds and extrapolation

143.9 pounds and extraporation

143.9 pounds and emeepotacon

Answer 1

To find the weight of a cheetah that runs 7 miles using the given line of best fit \( y = 195 - 7.3z \):

1. Substitute \( z = 7 \) into the equation:
\[
y = 195 - 7.3(7)
\]
\[
y = 195 - 51.1
\]
\[
y = 143.9
\]

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

Now, to determine whether this situation involves interpolation or extrapolation:
- **Interpolation** occurs when you predict a value within the range of the data points provided.
- **Extrapolation** occurs when you predict a value outside of the range of the data points provided.

In your data, the cheetah runs between 1 and 8 miles. Since 7 miles falls within that range, this is considered **interpolation**.

Therefore, the correct statement is:
**143.9 pounds and interpolation**.