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Hello!

Robin can clean 72 rooms in 6 days. How many rooms can Robin clean in 9 days?

We have a proportional magnitude (directly proportional), if we increase the number of days for cleaning, obviously we will have more rooms cleaned, then:

clean rooms __________ days

72 ----------------------------------- 6

y ------------------------------------- 9

[tex]\dfrac{72}{y} = \dfrac{6}{9}[/tex]

multiply the means by the extremes

[tex]6*y = 72*9[/tex]

[tex]6\:y = 648[/tex]

[tex]y = \dfrac{648}{6}[/tex]

[tex]\boxed{\boxed{y = 108}}\Longleftarrow(clean\:rooms)\end{array}}\qquad\checkmark[/tex]

Answer:  

108 clean rooms in 9 days  

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I Hope this helps, greetings ... Dexteright02! =)

As per linear equation, Robin can clean 108 rooms in 9 days.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

There are linear equations in one variable and linear equations in two variables. A linear equation can also be called as an one degree equation"

Given, Robin can clean 72 rooms in 6 days.

Therefore, in a day, Robin can clean [tex]\frac{72}{6}[/tex] rooms = 12 rooms.

Let, Robin will do his work at the same pace every time.

Now, in 9 days Robin can clean (9 × 12) rooms = 108 rooms.

Therefore, Robin can clean a total of 108 rooms in 9 days.

Learn more about a linear equation here: https://brainly.com/question/11897796

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