Question

Graph this on a sheet of paper is this Linear or Non-Linear.

Hours, h

Earnings (5), E

2

18

4

36

6

54

8

72

10

90

Answer 1

Are you sure

Answer 2

To determine if the given data is linear or non-linear, we can look for a consistent pattern or relationship between the hours and earnings.

If we observe the data, we can see that the earnings (E) are always twice the value of the hours (h). For example, when h = 2, E = 5 (which is twice 2 + 1), and when h = 4, E = 18 (which is twice 4 + 10).

Since there is a consistent linear relationship between the hours and earnings (E = 2h + 1), we can conclude that the given data is linear.

Answer 3

Apologies for the incorrect analysis in my previous response. Let's reexamine the data to determine if it is linear or non-linear.

Given data:

Hours (h), Earnings (E)
2, 5
4, 18
6, 36
8, 54
10, 90

To determine if the relationship between the hours and earnings is linear or non-linear, we can plot the data points on a graph and see if they form a straight line.

Plotting the data points, we have:

(2, 5)
(4, 18)
(6, 36)
(8, 54)
(10, 90)

Upon graphing these points, we can observe that they do not form a straight line. The relationship between the hours and earnings is not consistent, and the points do not lie on a straight line. Therefore, the given data is non-linear.