High School

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------------------------------------------------ The table shows data that Alex gathered about her classmates:

Student Measurements:
- Weight, in kg; Height, in cm
- 152, 63
- 154, 65
- 150, 66
- 157, 66
- 146, 61

She determined that the data defined a function. Which action would cause Alex's set of ordered pairs to no longer define a function?

1. Adding data from a student who is 161 cm tall and weighs 63 kg
2. Adding data from a student who is 154 cm tall and weighs 69 kg
3. Converting the measurements from metric units to inches and pounds
4. Plotting the data on a coordinate grid

Answer :

Final answer:

Adding data from a student who is 154 cm tall and weighs 69 kg would cause Alex's set of ordered pairs to no longer define a function.

Explanation:

Adding data from a student who is 154 cm tall and weighs 69 kg would cause Alex's set of ordered pairs to no longer define a function.

A function is defined as a relationship between two sets of numbers, such that each input has exactly one output. In this case, Alex's set of ordered pairs defines a function because each input, which is the height, has exactly one output, which is the weight.

However, if Alex were to add data from a student who is 154 cm tall and weighs 69 kg, this would create a duplicate input (height) with different outputs (weights). This violates the definition of a function, as each input should have exactly one output. Therefore, option 2) would cause Alex's set of ordered pairs to no longer define a function.