We're glad you stopped by Stacey earned 100 for 4 hours plus 20 for every additional hour babysitting on Saturday She earned at most 160 in all a Write an. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
Let x be the number of hours stacey worked on Saturday.
For hte first 4 hours, she earned $100 and $20 every additional hour.
Since her total hours is x, we will subtract 4 from it and that will be the number of hours she worked for $20
[tex]100+20(x-4)[/tex]She earned at most $160, equating the expression above less than or equal to 160.
[tex]\begin{gathered} 100+20(x-4)\le160 \\ 20(x-4)\le160-100 \\ 20x-80\le60 \\ 20x\le60+80 \\ 20x\le140 \\ x\le\frac{140}{20} \\ x\le7 \end{gathered}[/tex]Her total number of hours will be x ≤ 7
Since Stacey needs to work at most 7 hours to get $160
The number of hours she will need is 7 hours
Let's check.
Subsitute x = 7 to the expression above :
[tex]\begin{gathered} 100+20(x-4) \\ \Rightarrow100+20(7-4) \\ \Rightarrow100+20(3) \\ \Rightarrow100+60 \\ \Rightarrow160 \end{gathered}[/tex]Therefore, the answer is correct.
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Rewritten by : Batagu
