Michaela has up to $20 to spend on bottled water and orange juice for a group hike. It cost $2 for each bottle of water and $ 4 for each bottle pdf orange juice.

Question

write an inequality statement of this situation?
2x +4y< or equal to 20
Y < or equal to-1/2x +5
once this is graphed I am asked can Michaela buy 5 bottles of water and 7 bottles of orange juice why or why not use the graph to justify your answer. I know the answer is no so how do I justify this answer using the graph?

Answer 1

y </= -(1/2) x + 5
y </= -(1/2) 5 + 5 ??
y </= -2.5 + 5
y</= 2.5
If I buy 5 bottles of water, I can buy no more than 2.5 bottles of oj

Answer 2

the graph is a line

one side is the true region, the other side is the false region

5 water and 7 OJ lies in the false region