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.
B. Adding data from a student who is 154 cm tall and weighs 69 kg.
If Alex adds data for a student who is 154 cm tall and weighs 69 kg, it would cause her set of ordered pairs to no longer define a function because there would be multiple outputs (weights) for the same input (height of 154 cm). In a function, each input can only have one output.