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 line of best fit given by the equation \( y = 195 - 7.3x \):

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

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

2. Calculate \( 7.3 \times 7 \):

\[ 7.3 \times 7 = 51.1 \]

3. Now substitute this back into the equation:

\[ y = 195 - 51.1 = 143.9 \]

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

Next, we need to determine whether we are performing interpolation or extrapolation. Since the data provided only goes up to miles run of 8 (which is the maximum in the table), using 7 miles falls within the range of the given data. Therefore, this is considered interpolation.

The correct answer is:

143.9 pounds and interpolation.