Respuesta :
Answer:
Thus, the equation to find the number of rooms Martin is left to clean after [tex]x[/tex] hours can be given as:
[tex]y=-\frac{4}{7}x+b[/tex]
where [tex]b[/tex] represents the total number of rooms.
Step-by-step explanation:
Given:
Martin is left to clean 4 rooms.
He takes 7 hours to clean them.
To write an equation in standard form of the line that represents the number of rooms Martin has left to clean, y, after x hours.
Solution:
The number of rooms [tex]y[/tex] , Martin has left to clean after [tex]x[/tex] hours can be given as:
[tex]y=-mx+b[/tex]
where [tex]m[/tex] represents the rate at which Martin cleans the rooms and [tex]b[/tex] represents the number of rooms in the house.
It is given that Martin cleans 4 rooms in [tex]x[/tex] hours.
Rate of cleaning can be given as;
If it takes 7 hours to clean 4 rooms.
Then in 1 hours Martin cleans = [tex]\frac{4}{7}[/tex] of a room.
Thus, the equation can be given as:
[tex]y=-\frac{4}{7}x+b[/tex] (Answer)
