Question

Which system of inequalities best representsthis situation?Click on the correct answer.ProblemA 400-space parking garage includes180 regular spaces, with the remainderdesignated as compact spaces. Policystates that regular cars must park inregular spaces; however, compact carsmay park in any space.XS 180x + y s 400y-XS 180x + y s 400XS 400x + y = 220x = the number of regular carsy = the number of compact carsXS 180y s 400

Answer 1

We represent

x as the number of regular cars and,

y as the number of compact cars

Number of regular spaces = 180

Number of compact spaces = 400 - 180 = 220

Regular cars must pack in regular spaces implies:

`x\text{ }\leq\text{ 180}`

Compact cars may pack in any space implies :

`x\text{ + y }\leq\text{ 400}`

Meaning the sum of cars packed in the regular space plus that in the compact space cannot be more than the total number of spaces(400)