○Helping Communities○

♦Meet Benji and Louise♦

•Benji and Louise are two admirable high school students who decided they would collect non-perishable food items for a local food bank in order to support the less fortunate, due to the fact that many people either cannot or do not donate as much food. With the rising number of people in poverty, they wished to provide some aid to these families and individuals.•

♦Their Plan♦

•Benji made a goal that he would collect 20 non-perishable food items every 2 months, while Louise chose to collect 15 cans every 2 months.

To start off, Benji brought 5 cans of food by himself whereas Louise decided not to.

They constructed a plan mathematically and graphically that depicts the amount of food they would be able to collect after a number of months.•
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•Let C represent the number of cans/food items. Let m represent the number of months.•


Louise's Plan


Benji's Plan


Benji and Louise will both collect 15 cans, and this is the intersection point.











○Benji and Louise explained that graphing this data was important to show which one of them would collect more food items and show when they would end up making the same amount thus they could see who would be accumulating more food. Once the lines intersect, whoever's line is steeper would be collecting a greater amount of food. Once they determined this information, they could change their plans and balance out how much their monthly goals are so that one person wouldn't be working a lot harder than the other.

Thus, after collecting 15 food items, they will make a new goal of how many foods they want to collect. Once they collected 15 cans, Louise would end up collecting a lot more as the months went by compared to Benji and therefore they would make Louise's food item goal lower, or Benji's goal higher.

Both Benji and Louise will collect 15 non-perishable food items, Benji will collect 15 food items in 1 month and Louise will also collect the same amount of food within 2 months.○