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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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