Input x 3, 7, 11, 15

Input y 4, 6, 8, 10

Compare the data in the table with the relation f (x) = 5x-21. Which relation has a greater value when x = 11?

Table data:

(3,4) (7,6)

slope = (6-4) / (7-3) = 2/4 = 1/2

y = mx + b

slope (m) = 1/2

(3,4) ... x = 3 and y = 4

now we sub

4 = 1/2 (3) + b

4 = 3/2 + b

4 - 3/2 = b

8/2 - 3/2 = b

5/2 = b

y = 1/2x + 5/2 ... when x = 11

y = 1/2 (11) + 5/2

y = 11/2 + 5/2

y = 16/2 = 8

relation:

f (x) = 5x - 21 ... when x = 11

f (11) = 5 (11) - 21

f (11) = 55 - 21

f (11) = 34

The relation has a greater value (34) when compared to the table (8).