a) Joelle has y= 18 + 4x
b) Lewis has y = 30 + 3x
c) To find when Joelle and Lewis have the same number of rocks, set their equations equal to each other and solve for x:
18 + 4x = 30 + 3x
x = 12
Therefore, it will take 12 weeks for Joelle and Lewis to have the same number of rocks in their collections.
d) To find the number of rocks they will each have when their collections are equal, substitute x = 12 into either equation:
Joelle: y = 18 + 4x = 18 + 48 = 66 rocks
Lewis: y = 30 + 3x = 30 + 36 = 66 rocks
Therefore, they will each have 66 rocks in their collection when the amount is equal.
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.
a) Joelle has y= __x+___
b) Lewis has y =__x+___
c) After how many weeks will Joelle and Lewis have the same number of rocks in their collections? ___weeks
d) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will each have _____ rocks in their collection
1 answer