a. Write a system of inequalities that model the conditions. You want to stay at least 3 nights. At least one night should be spent at a large resort. Large resorts average ​$300 per night and small inns average ​$100 per night. Your budget permits no more than ​$700 for lodging.
Choose the correct answer below.
A.
ygreater than or equals​0, xplusygreater than or equals3​, xgreater than or equals​1, 300 x plus 100 y less than or equals 700
B.
ygreater than or equals​0, xplusygreater than or equals3​, xgreater than or equals​1, x plus 300 y less than or equals 700
C.
ygreater than or equals​1, xplusygreater than or equals3​, xgreater than or equals​0, 300 x plus 100 y greater than or equals 700
D.
ygreater than or equals​1, xplusygreater than or equals3​, xless than or equals​0, 100 x plus y greater than or equals 700