When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than 1/3 the total number of guests. which graph represents this scenario?

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the total number of guests

y -----> the amount of meat

we know that

The inequality that represent this situation is equal to

Note The inequality is "greater than or equal" because the given statement say "at least"

The solution of this inequality is the shaded area above the solid line

The slope of the solid line is positive

The y-intercept of the solid line is -2  

The x-intercept of the solid line is 6

therefore

The graph in the attached figure

Remember that

The values of x an y cannot be a negative number

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

What am i doing here. add?