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)
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a) Joelle has y = Response areax + Response area
b) Lewis has y = Response area x + Response area
c) After how many weeks will Joelle and Lewis have the same number of rocks in their collections? Response area weeks
d) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will each have Response area rocks in their collection.
a) Joelle has y = 18 + 4x
b) Lewis has y = 30 + 3x
c) Joelle and Lewis will have the same number of rocks in their collections after (30 - 18) / (4 - 3) = 12 weeks.
d) They will each have 30 + 3(12) = 66 rocks in their collection.
a) Joelle has y = 18 + 4x
b) Lewis has y = 30 + 3x
c) After how many weeks will Joelle and Lewis have the same number of rocks in their collections? Response area: weeks
d) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will each have Response area: rocks in their collection.
a) Joelle has y = 18 + 4x, where x represents the number of weeks.
b) Lewis has y = 30 + 3x, where x represents the number of weeks.
c) To find the number of weeks when Joelle and Lewis have the same number of rocks in their collections, we can set their equations equal to each other: 18 + 4x = 30 + 3x. Then, we can solve for x.
d) To find out how many rocks Joelle and Lewis will have when the amount of rocks in their collections is equal, we substitute the value of x from part c) into either equation and solve for y.