The weight of a cheetah can be based on the number of miles they can run a day the line of best fit for this data set is y equals 195 - 7.3 X the table represents the scatter plot of data find a weight of a cheetah that runs 7 miles and state weather exploration or interpolation is occurring x-miles 10 why pounds 130 x miles one why pounds 200 x my run 3y pounds one 167 x run 5 why pounds 145x run 8y pounds 135

Question

130 lb and interpolation 130 lb in exploration 143.9 lb and interpolation 143.9 lb and exploration

Answer 1

To determine 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.

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

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

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

• Interpolation occurs when we estimate a value within the range of the given data. In this case, the data points you provided include distances of 1, 3, 5, 8, and 10 miles. Since 7 miles falls between the existing data points of 5 miles (145 pounds) and 8 miles (135 pounds), this is considered interpolation.

• Extrapolation occurs when we estimate a value outside the range of the given data.

Thus, we conclude:

• The weight of a cheetah that runs 7 miles is 143.9 pounds.
• This is an example of interpolation.