2. Solving Systems Using Substitution
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Make a table of values to organize the given information. Then, using the table create a system of equations.
2.75 seconds
We can use the given information to create a system of equations.
From here, we will make a table of values to organize the given information. Note that Firework A is launched 0.25 seconds after Firework B is launched, so to account for the number of seconds it has traveled, we have to subtract 0.25 from x.
Firework A | Firework B | ||
---|---|---|---|
Verbal Expression | Algebraic Expression | Verbal Expression | Algebraic Expression |
Number of seconds (s) | x- 0.25 | Number of seconds (s) | x |
Speed (ft/s) | 220 | Speed (ft/s) | 200 |
Height (ft) | 220( x- 0.25) | Height (ft) | 200 x |
Set the equation | y= 220( x- 0.25) | Set the equation | y= 200 x |
(I):y= 200x
(I):Distribute 220
(I):LHS-220x=RHS-220x
(I):.LHS /(- 20).=.RHS /(- 20).