Question

Im taking my final right now and don't want to fail please help.

Answer 1

3n+2

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