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 = 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 Response area 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? 4 weeks
d) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will each have 42 rocks in their collection.
a) Joelle has y = x + 18 rocks in her collection.
b) Lewis has y = x + 30 rocks in his collection.
c) To find the number of weeks it takes for Joelle and Lewis to have the same number of rocks, we need to set up the equations:
Joelle's rocks = Lewis's rocks
x + 18 = x + 30
Simplifying the equation:
18 = 30
Since these two equations are contradictory, it means Joelle and Lewis will never have the same number of rocks in their collections.
d) Since Joelle and Lewis will never have the same number of rocks, there is no answer to this question.
a) Joelle has y = x + 18
b) Lewis has y = x + 30
c) To find when Joelle and Lewis will have the same number of rocks, we set the two equations equal to each other:
x + 18 = x + 30
Solving for x, we get:
18 = 30
Since this is not possible, Joelle and Lewis will never have the same number of rocks in their collections.
d) Since Joelle and Lewis will never have the same number of rocks, we cannot determine how many rocks they will have when the amounts are equal.
your wrong
I apologize for the incorrect response. Let's correct it:
a) Joelle has y = 18 + 4x rocks in her collection.
b) Lewis has y = 30 + 3x rocks in his collection.
c) To find when Joelle and Lewis will have the same number of rocks, we can set the two equations equal to each other:
18 + 4x = 30 + 3x
Now, we can solve for x:
x = 12
So, after 12 weeks, Joelle and Lewis will have the same number of rocks in their collections.
d) To find the number of rocks each will have when the amounts are equal, we substitute x = 12 into either equation:
Joelle: y = 18 + 4(12) = 66 rocks
Lewis: y = 30 + 3(12) = 66 rocks
Therefore, Joelle and Lewis will each have 66 rocks in their collection when the amounts of rocks are equal.