Respuesta :

Answer:

3n+2

Step-by-step explanation:

  • they informed that it is a linear function.
  • so, let the required  linear function be ax+b.

[where, a and b are some constants and x is a variable ( input values)]

  • when x=1, the output is 5
  • so, if  x=1, ax+b=5

so, a+b=5

  • if x=2, ax+b=8

so,2a+b=8

  • solving the above 2 equations,

subtract the first equation from second:

2a+b-a-b=8-5

a=3.

by substituting the value of a in one of the above equations,

you will get b as 2

so, when the input is n, output will be : 3n+2

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