Write two equations to represent the customer’s total cost based on how many items she buys from each of the two sellers—you and the other company.
Answer: You: [price of product 1]x+5=T
Other Company [price of product 12]x+20=T
If the customer in Alaska wants to buy 5 items, from whom should she buy? Explain your answer.
Answer: If the customer in Alaska wants to buy 5 items she should buy from [choose one: me/other company] because [reason why]
If the customer in Alaska wants to buy 50 items, from whom should she buy? Explain your answer.
Answer:If the customer in Alaska wants to buy 50 items she should buy from [choose one: me/other company] because [reason why]
Solve the system of equations from part A. What method did you choose to solve the system? Why?
Answer: Your Equation: [price of product 1]x+5=T
Other Company Equation: [price of product 12]x+20=T
Solution: ([x-value],[y-value])
I used [pick one: elimination, graphing, substitution] because [reason why]
Explain What your solution for part D means in terms of the situation.
Answer: My solution means [explain meaning]
If the customer in Alaska wants to buy 5 items, she should buy from me because my total cost equation is [price of product 1]x+5=T, which would result in a lower total cost compared to the other company's equation [price of product 12]x+20=T.
However, if the customer in Alaska wants to buy 50 items, she should buy from the other company because their equation [price of product 12]x+20=T would result in a lower total cost compared to my equation [price of product 1]x+5=T.
To solve the system of equations, I chose to use substitution because it allows me to solve for one variable and substitute its value into the other equation.
The solution obtained from solving the system of equations is ([x-value],[y-value]).
The solution obtained from the system of equations represents the value of x (the number of items) at which the total cost from both sellers is the same. This suggests that at this value of x, the customer can choose to buy from either seller as the total cost from both would be equal.