Respuesta :

The complete function is: [tex]y = x+55[/tex]

Step-by-step explanation:

the given table represents a linear function

The linear function is represented by:

[tex]y = mx+b[/tex]

Here

m is the slope of function and b is the y-intercept

In this case, m will be calculated as:

[tex]m= \frac{Change\ in\ y}{Change\ in\ x}\\= \frac{61-60}{6-5}\\= 1[/tex]

Hence the slope is 1.

Putting in the equation

[tex]y = x+ b[/tex]

To find the value of b, we will put any pair of x and y in the equation

[tex]61 = 5 + b\\b = 60-5\\b = 55[/tex]

Hence,

The final equation for linear function is:

[tex]y = x + 55[/tex]

Keywords: Linear function, equation

Learn more about linear functions at:

  • brainly.com/question/726990
  • brainly.com/question/725998

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