Alex gathered the following data about her classmates:
The table titled 'Student measurements' shows students whose height is 152 c-m have weight 63 k-g, students whose height is 154 c-m have weight 65 k-g, students whose height is 150 c-m have weight 66 k-g, students whose height is 157 c-m have weight 66 k-g, and students whose height is 146 c-m have weight 61 k-g.
She created ordered pairs, (Height , Weight), from the data and found they defined a function.
Which of the following actions would cause Alex's set of ordered pairs to no longer define a function?
A.
Adding data from a student who is 161 cm tall and weighs 63 kg.
B.
Adding data from a student who is 154 cm tall and weighs 69 kg.
C.
Converting the measurements from metric units to inches and pounds.
D.
Plotting the ordered pairs on a coordinate grid.
The answer is A. Adding data from a student who is 161 cm tall and weighs 63 kg.
In a function, each input (height in this case) can only have one unique output (weight in this case). If a student is already listed in the table with a height of 152 cm and weight of 63 kg, adding another student with the same height but a different weight would violate this rule.