Question

determining a function type
men’s shoes
the graph shows the relationship between men’s shoe sizes and their heights. what type of relationship is this?
○ a linear relationship showing as height increases, shoes size increases
○ a linear relationship showing as height increases, shoe size decreases
○ a quadratic relationship showing as height increases, shoe size increases, then decreases
○ a quadratic relationship showing as height increases, shoe size decreases, then increases

Explanation:

A linear relationship has points that can be approximated by a straight - line. As the \(x\) - value (height) increases, the \(y\) - value (shoe size) also increases. There is no indication of a quadratic relationship (which would have a parabolic - like shape, either opening up or down, showing a change in the direction of the relationship).

Answer:

a linear relationship showing as height increases, shoes size increases