Question

3: The height and weight of adults can be related by the equation y=48.3x−127 where x is height in feet and y is weight in pounds.What does the slope of the line represent?

Answer 1

`\text{ the number of pounds heavier an adult one foot taller would weigh}`

Explanation:

A linear function is represented by the following equation:

`\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}`

The slope represents the change in ''y'' over the change in ''x'', then if ''x'' is the height in feet and ''y'' is weight in pounds. In this relation the slope represents:

`\text{ the number of pounds heavier an adult one foot taller would weigh}`