Question

Malia is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Malia's inputs and the corresponding outputs displayed by the calculator:

(1, 4), (2, 9), (3, 14), (4, 19)

Which of the following functions best represents the rule that the calculator uses to display the outputs?

f(n) = 5n − 1
f(n) = 5n + 1
f(n) = 4n + 1
f(n) = 4n − 1

Answer 1

@madhu.mukherjee.946

Answer 2

@pooja195 @ganeshie8 @Hero @Abhisar @iambatman

Answer 3

it is the first option

Answer 4

find the slope between two points
do you know how to do that?

Answer 5

y2-y1 over x2-x1

Answer 6

9-4/2-1=5

Answer 7

now y = mx +b you got m=5
so y = 5x + b

Answer 8

then temporarily plug in a point (x, y)
and solve for b

Answer 9

9=5(2) + b

Answer 10

-1=b

Answer 11

now if you consider the real equation without putting x,y it will be y=5x-1
or f(n)=5n-1
we have considered f(n)=y

Answer 12

y=mx+b is the equation for the straight line

Answer 13

THANKSSS @madhu.mukherjee.946

Answer 14

welcome