Question

George is an artist and wants to showcase his work in an exhibition.

George requires 30 hours to make a sculpture and 15 hours to make a painting. To display at the showcase he needs at least 5 sculptures and 6 paintings to be ready.


Let x represent the number of sculptures, and let y represent the number of paintings. If George has 300 hours left before the exhibition, which inequalities represent the constraints on the number of sculptures and paintings he can display?


1. x is less than or equal to 5
2. 30x+15y is less than or equal to 300
3. x is greater than or equal to 5
4. y is greater than or equal to 6
5. 15x+30y is greater than or equal to 300
6. y is less than or equal to 6

Answer 1

2, 3, 4

Explanation:

The term "at least" interprets as "greater than or equal to".

Because George has a Maximum of 300 hours left to complete sculptures and paintings, the Sum of the Hours (30x and 15y) must be Less Than, or can be Equal to 300.