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A real-world situation that models the linear equation is:

  • If one works an overtime of 5 hours (x), he would earn $175 (y) - [tex](5, 175)[/tex].
  • If one works an overtime of 15 hours (x), he would earn $325 (y) - [tex](15, 325)[/tex].
  • The total amount (y) a baby-sitting job pays in a week if the standard wage per week is $100, and an extra pay (x) of $15 is paid per hour for overtime. -[tex](y=15x+100)[/tex]

Linear equations can be used to represent day-to-day situation we come across. This can be done by using variables and figures as illustrated below:

  • Given:

y = 15x + 100

and points,

(5, 175) (15, 325)

  • Thus,

Let,

  • y represents the total amount of money you are to be paid for baby sitting in a week.
  • $100 is the flat rate, or weekly standard wage agreed upon.
  • $15 was agreed to be paid for every added hour you work as overtime.

The points given can be used to illustrate two scenarios showing how much you can earn in a week baby-sitting. Thus:

  • (5, 175) represents working 5 hours as overtime and earning a total pay per week of $175.

It is calculated using the linear equation given as:

[tex]y=15x+100 \\y=15(5) + 100\\y = 75 + 100\\y = 175[/tex]

This means you get an added pay of $75 to the initial standard wage of $100 in a week if you work an overtime of 5 hours.

  • (15, 325) represents working 15 hours as overtime and earning a total pay per week of $325.

It is calculated using the linear equation given as:

[tex]y=15x+100 \\y=15(15) + 100\\y = 225 + 100\\y = 325[/tex]

This means you get an added pay of $225 to the initial standard wage of $100 in a week if you work an overtime of 15 hours.

Therefore, the real-world situation that could be use to model a linear equation such as [tex]y=15x+100[/tex] is:

  • The total amount (y) a baby-sitting job pays in a week if the standard wage per week is $100, and an extra pay (x) of $15 is paid per hour for overtime. -[tex](y=15x+100)[/tex]
  • If one works an overtime of 5 hours (x), he would earn $175 (y) - [tex](5, 175)[/tex].
  • If one works an overtime of 15 hours (x), he would earn $325 (y) - [tex](15, 325)[/tex].

Learn more about linear equations here:

https://brainly.com/question/9286418

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