Stephen wants to buy yellow tangs and clown fish for his saltwater aquarium. he wants to spend no more than $77 on fish. at the store, yellow tangs cost $15 each and clown fish cost $11 each. write and graph a linear inequality to find the number of yellow tangs x and the number of clown fish y that stephen could purchase. name a solution of your inequality that is not reasonable for the situation. explain

Well, the total cost must be less than or equal to 77
total cost=tangfishcost+clownfishcost
tangfishcost=costpertangfish times numberoftangfishboubht=15 times x
clownfishcost=costperclownfish times numberofclownfishbought =11 times y

15x+11y≤77 is the equation

graph the line 15x+11y=77
in slope intercept form
y=-15/11x+7
graph points (0,7) and (11,-8)
connect them with a solid line
first make a boundary, x and y cannot be negative because they are counting how many you can buy
so restrict the graph to y≥0 and x≥0
anything where y<0 or x<0, erase that line
now
test 1 point to see if it is in the solution set
15x+11y≤77
test (0,0)
0≤77
true
shade whre that is (to bottom left)
graph below
a solution that is not acceptable is (-3,0) because you can't buy -3 fish
another one is (100,30) because you don't have enough money

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