We want to find an equation that models the given situation.
The equation is: M(x) = (10 min)×x
What we know is that Jaztine can clean the set of dishes in 10 minutes.
We want to find the number of minutes that she needs to clean a given number, x, of sets of dishes.
So, if she takes 10 minutes for each set, for x sets, she will need x times 10 minutes.
Then the equation is just:
M(x) = (10 min)×x
The correct option is the first one.
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The number of minutes Jaztine can finish any set of dishes is [tex]M(x)=10x[/tex]. So, the first option is correct.
Given:
Jaztine can finish cleaning the set of dishes in 10 minutes. He maintains this rate.
To find:
The expression for the number of minutes Jaztine can finish any set of dishes.
Solution: Let [tex]x[/tex] be the number of sets of dishes.
The time taken by Jaztine to clean 1 set of dishes is 10 minutes. So, the time is taken by Jaztine to clean [tex]x[/tex] set of dishes is [tex]10x[/tex] minutes.
It can be written as:
[tex]M(x)=10x[/tex]
Therefore, the number of minutes Jaztine can finish any set of dishes is represented by [tex]M(x)=10x[/tex]. Hence, the first option is correct.
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