Question 6

The slope of the equation is 1.88, and it represents the number of inches the height increases for each inch the femur length increases.

The slope of the equation is 1.88, indicating that for every inch increase in femur length, the height increases by 1.88 inches.

A) The slope of the equation is 1.88, and it represents the femur length, in inches, when the height is 32 inches.

This option misinterprets the slope's meaning. The slope does not indicate the femur length at a specific height but rather how height responds to changes in femur length.

B) The slope of the equation is 1.88, and it represents the number of inches the height increases for each inch the femur length increases.

This statement accurately captures the meaning of the slope in the equation. The slope of 1.88 indicates that for each additional inch in femur length, the person's height increases by 1.88 inches.

C) The slope of the equation is 1.88, and it represents the number of inches the femur length increases for each inch the height increases.

This option incorrectly reverses the relationship described by the slope. The slope represents height changes in relation to femur length, not the other way around.

D) The slope of the equation is 32, and it represents the number of inches the height increases for each inch the femur length increases.

This statement is incorrect as it identifies the slope as 32, which is not supported by the equation. The slope is 1.88, not 32, and does not reflect the height increase per femur length increment.

E) The slope of the equation is 32, and it represents the height, in inches, when the femur length is 1.88 inches.

This option is also incorrect as it wrongly states that the slope is 32. The relationship described by the equation does not define the height at a particular femur length but rather the rate of change of height relative to femur length.

Conclusion

The correct answer, B, clearly defines the slope as 1.88, indicating the height's increase per inch of femur length. All other options either misrepresent the slope's value or incorrectly describe its relationship, thus failing to accurately explain the equation's implications. Understanding the slope is crucial for interpreting how one variable affects another in mathematical modeling.