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Hunter and Christopher were analyzing the graph shown . Both students identified the function to be represented by the, d=13h-75, where d is the amount of money in a checking account and h is the number of hours worked. Hunter explained the equation represented an original amount of $75 that decreased $13 for every hour. Christopher disagreed. He interpreted the equation as a person who was in debt $75 earned $13 every hour.

Respuesta :

Using linear function concepts, it is found that Christopher is correct.

What is a linear function?

A linear function is modeled by:

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

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.

In this problem, the function is:

[tex]d = 13h - 75[/tex]

Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:

  • For each hour worked, the person earns $13.
  • Considering taxes, the person starts at a debt of $75.

Hence, Christopher is correct.

You can learn more about linear function concepts at https://brainly.com/question/24808124

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