Question

A function rule takes an input(x) and coverts into an output(y), by increasing 4 times the inpuy by 36. Write an equation for the rule and determine the output for this rule when the input is 3

Answer 1

`y = 4x + 36`

`y = 48` when
`x = 3`

Explanation:

Given

x = input

y = output

Required

Determine the equation of y

The process to get y is as follows:

Multiply x by 4: x * 4

Increase the result by 36: x * 4 + 36

Hence:

`y = x * 4 + 36`

`y = 4x + 36`

Solving y when x = 3

Substitute 3 for x in
`y = 4x + 36`

`y = 4 * 3 + 36`

`y = 12 + 36`

`y = 48`