The point (11.5, 1) is nonviable because you can only buy whole-number amounts of snacks (cookies and bags of chips). Since 11.5 is not a whole number, it is not a valid solution in this context, where x (the number of cookies) and y (the number of bags of chips) must be integers.
Mary is buying snacks at the grocery store. Cookies cost $0.75 each and bags of chips cost $1.25 each. She plans to spend no more than $10 but wants to buy at least 12 snacks. She uses the variables x=total cookies bought and y=total bags chips bought. Would you categorize the point (11.5,1) as a viable solution, a nonviable solution, or not a solution to the system of linear inequalities that would represent this situation? Explain.(1 point)
Responses The point (11.5,1) is a viable solution because it lies within the overlapping shaded region of the graph. The point (11.5,1) is nonviable because you can only buy whole-number amounts of cookies. The point (11.5,1) is not a solution to this problem because it lies outside of the overlapping shaded region of the graph. The point (11.5,1) is nonviable because you can only buy whole- number amounts of bags of chips.
1 answer
1 answer