Processing math: 100%
 
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avatar+1124 

Hi friends, please help me with finding the rUle for these inputs aand outputs:

 

Inputs are 1; 3; 5 ;7 (X values)

Outputs are 5; 10; 15; 20 (Y values)

 

I did the following:

constant difference is according to the outputs, which is 5.

 the formule used is y=bx+c, b equal to the constant difference

 

so we have y=5x+c.

So if I take the first term for example, to calculate "c"

 

y=5(x)+c

5=5(1)+c

c=0

 

however, using c=0, does not calculate correctly for the other terms. also, "c" calculates differently for each term. Please help, I really do appreciate.

 May 23, 2021
 #1
avatar+26397 
+3

Hi friends, please help me with finding the rUle for these inputs aand outputs:

 

Inputs are 1; 3; 5 ;7 (X values)

Outputs are 5; 10; 15; 20 (Y values)

 

xx+12(x+12)×511+12=115=533+12=225=1055+12=335=1577+12=445=20


The rule is y=(x+12)×5

laugh

 May 23, 2021
 #2
avatar+1124 
+1

Hi heureka,

 

Thank you for the response, however, could you kindly explain how you got to the rule in the first place...how did you know it had to be (x+1)25

juriemagic  May 23, 2021
 #3
avatar+26397 
+2

how you got to the rule in the first place:

Arithmetic progression: 1, 3, 5, 7, 
an=a1+(n1)d|a1=1, d=2an=1+(n1)2an=1+2n2an=2n12n=an+1n=an+12orn=x+12

source: https://en.wikipedia.org/wiki/Arithmetic_progression

 

 y=5n

 

laugh

heureka  May 23, 2021
edited by heureka  May 23, 2021
edited by heureka  May 23, 2021

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