3 years ago

What is the rule for this input-output table?

Mathematics

1 answer:

andrew11 [14]3 years ago

4 0

9514 1404 393

Answer:

y = 4x + 3

Step-by-step explanation:

The output of 3 at x = 0 tells you the y-intercept is 3.

The change of 4 from 3 to 7 for an input change of 1 from 0 to 1 tells you the slope is 4/1 = 4. Then the slope-intercept form of the equation is ...

y = mx + b . . . . . m = slope, b = y-intercept

y = 4x + 3

_____

It is pretty conventional to use y for the output variable and x for the input variable. Your rule could be ...

output = 4 × input + 3

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