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Answered

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 :

MrRoyalgo

Answer:

[tex]y = 4x + 36[/tex]

[tex]y = 48[/tex] when [tex]x = 3[/tex]

Step-by-step 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:

[tex]y = x * 4 + 36[/tex]

[tex]y = 4x + 36[/tex]

Solving y when x = 3

Substitute 3 for x in [tex]y = 4x + 36[/tex]

[tex]y = 4 * 3 + 36[/tex]

[tex]y = 12 + 36[/tex]

[tex]y = 48[/tex]

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