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Joelle currently has 18 rocks in her collection and gains 4 each week. Lewis currently has 30 rocks in his collection and gains 3 each week. Set up a system of equations to show how many rocks each has in their collection. (6 points) a) Joelle has y b) Lewis has y = weeks = x +! c) After how many weeks will Joelle and Lewis have the x +¦ same number of rocks in their collections? each have d) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will rocks in their collection.

1 answer

a) Joelle's collection: y = 18 + 4x
b) Lewis's collection: y = 30 + 3x
c) To find the number of weeks when they have the same number of rocks, we set their collections equal to each other: 18 + 4x = 30 + 3x
d) To find the number of rocks each will have when their collections are equal, substitute the number of weeks (x) into either equation.