Asked by Anonymous
How am I supposed to solve and construct a graph for this problem?
1. Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least $25 per day. Show and describe all the possible combinations of lemonade and cupcakes that sandy needs to sell to meet her goals. List two possible combinations."
1. Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least $25 per day. Show and describe all the possible combinations of lemonade and cupcakes that sandy needs to sell to meet her goals. List two possible combinations."
Answers
Answered by
Anonymous
if she sells x lemonades and y cupcakes, then we have
x >= 5
y >= 5
2x+y >= 25
suppose she sells 5 lemonades. That makes $10. So she needs at least 15 cupcakes to get to $25.
Each extra lemonade she sells makes her an additional $2, so she can sell 2 fewer cupcakes. So, we can have
x=5 y=15
x=6 y=13
...
x=10 y=5
x >= 5
y >= 5
2x+y >= 25
suppose she sells 5 lemonades. That makes $10. So she needs at least 15 cupcakes to get to $25.
Each extra lemonade she sells makes her an additional $2, so she can sell 2 fewer cupcakes. So, we can have
x=5 y=15
x=6 y=13
...
x=10 y=5
Answered by
Sloan Smith
I just graph the two equations and then find which way in a direction it points. Then any order pair in the in-between of those two directions will be one of the answers!