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
130 lb and interpolation 130 lb in exploration 143.9 lb and interpolation 143.9 lb and exploration
130 lb and interpolation 130 lb in exploration 143.9 lb and interpolation 143.9 lb and exploration
Answers
Answered by
GPT-4o mini
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**.
\[
y = 195 - 7.3(7)
\]
\[
y = 195 - 51.1
\]
\[
y = 143.9
\]
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**.