Al13 EO3 TSW6 Linear Eq. Ye Rin. Shelby. TSW 6. Linear Equation, Solving!!. Using a Table as a Check. Long. 400 students take Spanish and has been increasing 20 students per year. 98 students take German and has been decreasing 5 students per year.
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Long
Making it
Shorter
taking Spanish (400)
+
Increase (20)
x
Years (x)
=
Number taking German (98)
Decrease (5)
Years (x)
5 (

x
)
Algebraic
400+20x=5(985x)
400+20x=49025x
400+20x+25x=49025x+25x
400+45x=490
400400+45x490400
45x=90
X=2
Students taking Spanish will be five times than students taking German in two years!!
Use a diagram.
X
Gazelle caught in 20 seconds
If the gazelle is closer to the cheetah than x feet, the cheetah can catch the gazelle
If the gazelle is farther away than x feet, the gazelle is in the safety zone
Distance Gazelle runs in 20 sec.
Gazelle’s starting distance from cheetah
Distance cheetah runs in 2o seconds
Verbal Model
+
=
Gazelle’s distance = 73 x 2o (feet)
Gazelle’s starting distance from cheetah = x (feet)
Cheetah’s distance = 88 x 20 (feet)
73 x 20 + x = 88 x 20
Labels
Algebraic Model
Why?
How?