Question

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.

Answer 1

Answer:

$y=550x-25000$

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 $y=mx+b$, $b$ denotes the constant value.

The initial investment is our constant value.

$Net \ profit =Sales-Expenses$, Initial investment is the expenses hence $-b.$

Therefore, our equation will be:-

$y=550x-25000$