Question

Please help due today i beg of u .......A compute technician keeps track of his earning through tout each months. The technician observes that his earnings are a linear function of the number of house he works during the month. The technician finds that when he works 55 hours during the month, he earns $2,125 and when he works 30 hours, he earns $1,250

Part A- write a linear function to model the relationship between the number of hours worked and the money earned



Part B- explain the meaning of slope in the text context of the problem

Answer 1

Answer:

$y=35x+200$

The slope is 35 and it means the technician earns $35 per hour.

Step-by-step explanation:

The technician finds that

• when he works 55 hours during the month, he earns $2,125;
• when he works 30 hours, he earns $1,250.

Let

x = number of hours worked

y = amount of money earned

Find the slope of the linear equation:

$\dfrac{2,125-1,250}{55-30}=\dfrac{875}{25}=35$

Equation of the linear function:

$y-1,250=35(x-30)\\ \\y=35x-1,050+1,250\\ \\y=35x+200$

The slope is 35 and it means the technician earns $35 per hour.