095 algebra project help

[taylormountain]

Situation 2: You frequent Cumberland Farms. They have a special deal where if you purchase their mug for $1.99 , refills are just $0.49. Or, you can just buy an equivalent large beverage for $0.89 each.

Criteria for this project:

10 pts. Part I: Create an expression for each of your two choices/options for purchasing your product/service. For this, you should:
. . .a) identify which situation each expression is modeling,
. . .b) what the variable stands for, and
. . .c) what a ‘better deal’ means in this case.

15 pts. Part II: Create and solve your system of equations For this part, you should:
. . .A) Solve your system of equations using either the substitution or the elimination method.
. . .B) Identify what the solution is (if there is one).
. . .C) State what the solution means in practical terms.

10pts. Part II Solve your system of equations by Graphing. Be sure to:
. . .A) indicate which line is represented by which equation,
. . .B) identify the solution (if there is one), and
. . .C) include all relevant scales for your graph.

5 pts. Part II: State which deal would be the one you would choose? For this part, I expect a short but complete paragraph that clearly states which option you would choose and supports your choice with clear, sound reasoning.

 

[stapel]

Situation 2: You frequent Cumberland Farms. They have a special deal where if you purchase their mug for $1.99 , refills are just $0.49. Or, you can just buy an equivalent large beverage for $0.89 each.

So you have two ways of considering costs: a mug plus refills, or just the beverage (in a new paper cup each time).

Part I: Create an expression for each of your two choices/options for purchasing your product/service. For this, you should:
. . .a) identify which situation each expression is modeling,
. . .b) what the variable stands for, and
. . .c) what a ‘better deal’ means in this case.

Since you're being asked to think about what is a "better deal", then clearly they're talking about money. So you're going to be thinking about money, which has been given to you in terms of mugs and refills, versus just servings of the beverage. Each of these refers to drinks. You have two schemes for getting these drinks.

For what should your variable stand? What variable have you picked for this? What would a "better deal" mean?

What expressions and equations can you generate for this exercise? Where are you getting stuck?

Please be complete. Thank you! :wink: