A golf course charges a cart fee of $5 for members and $10 for nonmembers. Last Sunday, the number of members with carts was at least twice the number of nonmembers. The golf course had collected at most $300 in cart fees.
If m is the number of members and n is the number of nonmembers, which graph represents the possible solution for the number of each kind of golfer?

HINT: You can you these two inequalities as the boundary lines of your graph:

5m + 10n ≤ 300

m ≥ 2n

The possible solution area is shaded in purple in each of the answer choices below

Juliette sells chocolate and vanilla ice cream sandwiches from her food truck. She always makes some of each flavor but can make at most 300 items each day due to limited space and resources. Juliette knows that she should produce more than two times as many vanilla ice cream sandwiches as chocolate to meet her typical demand.

Suppose v is the number of vanilla ice cream sandwiches and c is the number of chocolate ice cream sandwiches that Juliette makes.

Which constraints represent a reasonable number of vanilla ice cream sandwiches and a reasonable number of chocolate ice cream for this scenario?

HINT: Take not of what is stated in the problem description: "she always makes some of each flavor."

Select all that apply.
A:c>0
B:v>0
C:v[tex]\geq 0[/tex]

Which constraints represent Juliette's resources and typical demand?

HINT: The number of vanilla bars (v) must be two times the number of chocolate chip (c). Also, remember she can only make at most 300 items in total.

Select all that apply
A:[tex]v+c \leq 300[/tex]
B;[tex]2c\ \textless \ v[/tex]
C:[tex]2c\ \textgreater \ v[/tex]