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A day-care center invests $25,000 to set up a new facility. The center plans to charge $550 per student per year. Write a linear model in the form y=mx+b where y represents the amount of profit the center earns for enrolling x number of students.

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opudodennis

Answer:

[tex]y=550x-25000[/tex]

Step-by-step explanation:

Let x be the number of students,

Y be profits, Rate per student is $550, initial investment is 25000

From the expression [tex]y=mx+b[/tex], [tex]b[/tex] denotes the constant value.

The initial investment is our constant value.

[tex]Net \ profit =Sales-Expenses[/tex], Initial investment is the expenses hence [tex]-b.[/tex]

Therefore, our equation will be:-

[tex]y=550x-25000[/tex]