You are serving bratwurst and hamburgers at your annual picnic. 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.
let x be the number of bratwursts and y the number of hamburgers. whiichs system of inequalities represents this situation?
options:
x+y< =40 1.35x+1.2y> =175
x+y< =40 1.35x+1.2y< =175
x+y> =120 1.35x+1.2> =175
x+y> =120 1.35x+1.2< =175

Option D - ,

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  bratwursts or hamburgers.  

We can write the equation as,

Number of bratwursts + number of hamburgers at least 120

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

Therefore, The system of linear equation form is ,

Hence, Option D is correct.