Question

A company has been shown to grow linearly at 12.5 employees per month. at the end of the first of the year of the business they employed 224 people. write a model for this situation (hint: let x represent the number of months and y the number of employees) write you equation in slope intercept form.

Answer 1

Slope intercept form (y = mx + b) requires that we have a slope and y intercept. The slope is the rate at which the company grows (12.5 employees/month) and the y intercept is the number of employees the company started with. After one year, the company would have gained 12.5 employees every month. That is 12.5*12 = 150 employees.

After a year the company had 224 people, so we can find the initial amount by subtracting the total amount vby the amount gained. 224 - 150 = 74.

So in slope intercept form:
y = 12.5x + 74