Question

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

Answer 1

B. f(n)= 5n+1

i have completed the test before and this is correct :)

*pic*

Answer 2

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