Alex gathered the following data about her classmates:
Student Measurements
Height in cm: 152, 154, 150, 157, 146 Weight in kg: 63, 65, 66, 66, 61
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.
A. Adding data from a student who is 161 cm tall and weighs 63 kg.
This would not cause Alex's set of ordered pairs to no longer define a function. The set of ordered pairs can still define a function if new data is added as long as each input (height) corresponds to only one output (weight). In this case, the input 161 cm would still correspond to the output 63 kg.
B. Adding data from a student who is 154 cm tall and weighs 69 kg.
This would not cause Alex's set of ordered pairs to no longer define a function. Similarly to option A, the set of ordered pairs can still define a function if each input corresponds to only one output. In this case, the input 154 cm would still correspond to the output 69 kg.
C. Converting the measurements from metric units to inches and pounds.
This would not cause Alex's set of ordered pairs to no longer define a function. Converting the measurements from metric units to inches and pounds would change the values of the ordered pairs, but it would not change the fact that each input (height) corresponds to only one output (weight).
D. Plotting the ordered pairs on a coordinate grid.
This would not cause Alex's set of ordered pairs to no longer define a function. Plotting the ordered pairs on a coordinate grid is a standard way to visualize the relationship between the inputs and outputs in a function. It does not change the fact that each input (height) corresponds to only one output (weight).
Therefore, none of the given actions would cause Alex's set of ordered pairs to no longer define a function.