Question

Martin is cleaning all the rooms in his house. There are 4 rooms left to clean, and he takes 7 hours to clean them. Write the equation in standard form of the line that represents the number of rooms Martin has left to clean, y, after x hours.

Answer 1

Answer:

Thus, the equation to find the number of rooms Martin is left to clean after $x$ hours can be given as:

$y=-\frac{4}{7}x+b$

where $b$ 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 $y$ , Martin has left to clean after $x$ hours can be given as:

$y=-mx+b$

where $m$ represents the rate at which Martin cleans the rooms and $b$ represents the number of rooms in the house.

It is given that Martin cleans 4 rooms in $x$ hours.

Rate of cleaning can be given as;

If it takes 7 hours to clean 4 rooms.

Then in 1 hours Martin cleans = $\frac{4}{7}$ of a room.

Thus, the equation can be given as:

$y=-\frac{4}{7}x+b$     (Answer)