Question

Answer this and I’ll make you Brainly!

Answer 1

Answer:

f(x) = 9x + 4

Step-by-step explanation:

Consider the output values

13, 22, 31, 40, 49

The difference between consecutive terms is constant, that is

22 - 13 = 31 - 22 = 40 - 31 = 49 - 40 = 9

This indicates the function is of the form

y = 9x + c ( where c is a constant )

To find c substitute the values of the input

x = 1 : y = 9(1) + c = 13 → 9 + c = 13 ⇒ c = 4

x = 2 : y = 9(2) + c → 18 + c = 22 ⇒ c = 4

x = 3 : 9(3) + c = 31 → 27 + c = 31 ⇒ c = 4

x = 4 : 9(4) + c = 40 → 36+ c = 40⇒ c = 4

x = 5 : 9(5) + c = 49 → 45 + c = 49 ⇒ c = 4

The value of the constant is 4

Thus the function representing the data is f(x) = 9x + 4

Answer 2

Answer:

A. f(x)=9x+4

Step-by-step explanation:

Function is f(x) =9x+4, because if x=1, then f(1)=9*1+4=9+4=13;

if x=5,then f(5)=9*5+4=45+4=49