Respuesta :
We want to find h which represents the number of hours of work that you can afford.
From the information given,
The charge per hour of work is $90. This means that the charge for h hours of work is
90 x h = 90h
The service fee is $190. This is a constant fee that must be paid irrespective of the number of hours. Thus, the total cost of h hours of work is
90h + 190
Again, you are on a budget and can afford no more then $460. This means that the amount that you can spend is less than or equal to $460. the symbol for representing 'less than or equal to' is '≤'
Therefore, the inequality that will be used to find the number of hours of work h you can afford is
90h + 190 ≤ 460
To solve the inequality, we would subtract 190 from both sides of the inequality. We have
90h + 190 - 190 ≤ 460 - 190
90h ≤ 270
We would divide both sides of the inequality by 90. We have
90h/90 ≤ 270/90
h ≤ 3
