SOLUTION: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
3. There are 62 time slots for cheerle
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Question 1073092: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
3. There are 62 time slots for cheerleading tryouts on Saturday and Sunday. There are 14 more slots on Saturday than on Sunday. Find the number of Saturday time slots x and the number of Sunday time slots y
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
x, Saturday slots
y, Sunday slots
graph not the best, appears to be (38,26) or (38,24)
Elimination Method on the system of equations tells x=38 and y=24;
38 Saturday slots
24 Sunday slots
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
----------------------
(2)
----------------------
solving by substitution:
(2)
(2)
(2)
and
(2)
(2)
(2)
This is the point ( 38,24 ) which is
38 Saturday slots and 24 Sunday slots
------------------------------------------
I did (C) first ( algebra )
Now here is (B), the graph:
Note that entries for Sunday are plotted on the
vertical axis, and entries for Saturday on the horizontal axis.
----------------------
As for the table, there are 2 colums, and
The rows are , which are 0,1,2,3,4,5 . . .
--------------------------------------------
Plug in ( slots for Saturday ) and you get:
slots for Sunday according to equation (1)
slots for Sunday according to equation (2)
-------------------------------------------------
It will look like:
x -- y[1] - - y[2]
-------------------
0 --- 62 --- (-14)
1 --- 61 --- (-13)
2 --- 60 --- (-12)
etc.
until you get to the solution:
38 -- 24 -- 24
------------------------------
hope this helps
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