Question

PLZ help 40 points!!

Classify each scenario as a linear or non-linear function.
1. The number of pages a copy machine can print over time, expressed by n=30m.
2. The amount of money an hourly worker makes over time, expressed by a=15h.
3. The temperature outside at noon each day for a year.
4. The height increase of a child over 3 years.

Answer 1

1. Linear relation

2. Linear relation

3. Non Linear relation

4. Non Linear relation

Explanation:

i) the number of pages a copy machine can print over time, expressed by n = 30m is a linear relation where the value of 'n' is directly proportional to 'm'.

ii) The amount of money an hourly worker makes over time, expressed by a = 15h, is a linear relation where the value of 'a' is directly proportional to 'h'.

iii) The temperature outside at noon each day for a year is a non-linear relation because the temperature will be different every day and not by the same amount.

iv) The height increase of a child over 3 years is also a non-linear relation as the height increase will vary from year to year and not by the same amount.