Question

Which function has greater rate of change?
Table 1
x
2
5
6
9
y
5
11
13
19

Table 2
x
2
5
6
9
y
4
13
16
25
Table 1
Table 2
Both the tables have the same rate of change
None of the choices

Answer 1

To find the rate of change for each table, we can calculate the difference in y-values for each corresponding pair of x-values.

For Table 1, the rate of change is as follows:
(11 - 5) = 6 for x = 5 to x = 2
(13 - 11) = 2 for x = 6 to x = 5
(19 - 13) = 6 for x = 9 to x = 6

For Table 2, the rate of change is as follows:
(13 - 4) = 9 for x = 5 to x = 2
(16 - 13) = 3 for x = 6 to x = 5
(25 - 16) = 9 for x = 9 to x = 6

Therefore, the rate of change for Table 2 is greater than the rate of change for Table 1.