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).