Question

The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function? Why?MinutesMath Problems Completed1327311415519 NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(2 points)This represents a function because there is .Skip to navigation

Answer 1

To determine whether the function representing the number of math problems Jana completed is linear or non-linear, we can analyze the data provided in the table:

Minutes | Math Problems Completed
---------------------------
1       | 3
2       | 7
3       | 14
4       | 15
5       | 19

To check if the function is linear, we need to see if there is a constant rate of change (slope) in the number of math problems completed as the minutes increase.

We can calculate the differences in math problems completed for consecutive minutes:

• From 1 to 2 minutes: 7 - 3 = 4
• From 2 to 3 minutes: 14 - 7 = 7
• From 3 to 4 minutes: 15 - 14 = 1
• From 4 to 5 minutes: 19 - 15 = 4

The differences between the counts of math problems completed are not constant (4, 7, 1, 4).

Since the rate of change is not constant, this indicates that the function is non-linear.

Thus, we can conclude: This represents a non-linear function because the rate of change in math problems completed is not constant.