Alocal company employs a varying number of employees each year, based on its needs. the labor costs for the company include a fixed cost of $41,949.00 each year, and $28,826.00 for each person employed for the year. for the next year, the company projects that labor costs will total $1,483,249.00. how many people does the company intend to employ next year?

50

Step-by-step explanation:

Let

The relationship between x and y can be represented through a linear equation.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope represents the cost per each person employed, that is, a = $28,826.00/person.

Then,

y = ($28,826.00/person) . x + b

Even if no person is hired (x = 0), there is a fixed cost of $41,949.00 (y = $41,949.00).

$41,949.00 = ($28,826.00/person) . 0 + b

b = $41,949.00

The final equation is

y = ($28,826.00/person) . x + $41,949.00

If the company will spend $1,483,249.00 (y = $1,483,249.00.),

$1,483,249.00 = ($28,826.00/person) . x + $41,949.00

1,441,300 = ($28,826.00/person) . x

x = 50 person (50 people)

The company intends to employ 50 people next year.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above