Answer:
Option D -[tex]x+y\geq 120[/tex] , [tex]1.35x + 1.2y \leq 175[/tex]
Step-by-step explanation:
Given : You want at least three bratwursts or hamburgers for each of your 40 guests. Bratwursts cost $1.35 each and hamburgers $1.2 each. Your budget is $175.
To find : Which system of inequalities represents this situation?
Solution :
Let x be the number of bratwursts and y the number of hamburgers.
You want at least three bratwursts or hamburgers for each of your 40 guests.
i.e, you want at least [tex]3\times(40)=120[/tex] bratwursts or hamburgers.
We can write the equation as,
Number of bratwursts + number of hamburgers at least 120
[tex]x+y\geq 120[/tex]
Bratwursts cost $1.35 each and hamburgers cost $1.2 each. Your budget is $175.
We can write equations as ,
Cost of bratwursts + cost of hamburgers at most 175
[tex]1.35x + 1.2y \leq 175[/tex]
Therefore, The system of linear equation form is [tex]x+y\geq 120[/tex], [tex]1.35x + 1.2y \leq 175[/tex]
Hence, Option D is correct.
