Use the table to answer the question.

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 extrapolation
143.9 pounds and extrapolation

143.9 pounds and interpolation
143.9 pounds and interpolation

130 pounds and interpolation
130 pounds and interpolation

130 pounds and extrapolation

Answer 1

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

1. Substitute \( x = 7 \) into the equation:

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

2. Calculate:

   \[ y = 195 - 51.1 = 143.9 \]

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

Now, since the dataset only includes values of \( x \) from the table (1, 3, 5, 8, 10) and does not include 7, we are estimating based on a value that is not directly given in the dataset, but falls within the range of the existing data (between 5 and 8). This is classified as interpolation, as it is within the range of collected data points.

Therefore, the answer is:

143.9 pounds and interpolation.