Rashid is helping to plan a cookout. He determines that making one making one hot dogs costs 55 cents and making a hamburger costs 90 cents. The cost must be no more than $50, and he knows that he must at least 60 hot dogs and hamburgers.

Question

Which system of linear inequaltites describes the conditions in the problem?

a) 0.55x + 0.9y >= 50, x + y >= 60
b) 0.55x + 0.9y <= 50, x + y >= 60
c) 0.55x + 0.9y >= 50, x + y <= 60
d) 0.55x + 0.9y <= 50, x + y <= 60

and the answer i picked was c
thank you !!!!!!!!!!!!!!!!!!!!

Answer 1

Since it needs to be "at least 60" x + y ≥ 60.

"no more than $50" = less than or equal to = 0.55x + 0.9y ≤ 50