Which of the following is a linear function?

Question

x2 = 5y
x = 3 + y2
x = 5 + y
x3 = 6y2

Answer 1

The linear function from the given options is x = 5 + y.

Answer 2

Which of the following is a linear function?
y = log(x3 + 9)
y = sin(2x)
y = e(x – 4)
y = 8

Answer 3

The linear function from the given options is y = 8.

Answer 4

The table given below shows the total amount saved by Tim every week.
Week
Money Saved ($)
1
15
2
20
3
25
4
30
5
35

Which of the following is true about the table of values?
Linear and Rate of change is $15
Non-linear function and Rate of change is $25
Linear function and Rate of change is $5
Non-linear function and Rate of change is $3

Answer 5

To determine if the table represents a linear or non-linear function, we need to check if there is a constant rate of change.

The rate of change is calculated by dividing the change in the dependent variable (money saved) by the change in the independent variable (week).

Looking at the table, we can see that for every increase of 1 week, there is an increase of $5 in the money saved. This means that the rate of change is $5 per week.

Since there is a constant rate of change, the table represents a linear function. Therefore, the option that is true about the table of values is:

Linear function and Rate of change is $5