Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. the ordered pairs below show sabrina's inputs and the corresponding outputs displayed by the calculator:
(1,6), (2,11), (3,16), (4,21)

which of the following functions best represents the rule that the calculator used to display the outputs?

a) f(n)= 5n-1

b) f(n)= 5n+1

c) f(n)= 4n+3

d) f(n)= 4n-3

Plug in the point (1,6) into each answer choice.

A) f(n) = 5n - 1
f(1) = 5(1) - 1 = 5 - 1 = 4
(1,4) ≠ (1,6)

Answer choice A is incorrect.

B) f(n) = 5n + 1
f(1) = 5(1) + 1 = 5 + 1 = 6
(1,6) = (1,6)

Answer choice B is correct.

C) f(n) = 4n + 3
f(1) = 4(1) + 3 = 4 + 3 = 7
(1,7) ≠ (1,6)

Answer choice C is incorrect.

D) f(n) = 4n - 3
f(1) = 4(1) - 3 = 4 - 3 = 1
(1,1) ≠ (1,6)

Answer choice D is incorrect.

Your answer is B) f(n) = 5n + 1