Question

Stephen wants to buy yellow tngs and clown fish for his saltwater aquarium. He wants to spend no more than 77 dollars on fish. At the store the yellow tngs cost 15 dollars each and clown fish cost 11 dollars each. Write and graph a linear inequality to find the number of yellow tangs x and the number of clown fish y that Stephan can purchase. Name a solution of your inequality that is not reasonable for the situation. Explain. Please help I give out medals :)

Answer 1

15x+11y <=77
x=trigs y =clowns

Answer 2

y<=-15/11x+7

Answer 3

(0,-3) wouldn't make any sense because then he would not be buying any fish.

Answer 4

\[x \ge0 \ and\ y \ge0\]