algebraically solve real world problems! for example… we have a rectangle with sides 10cm and 6cm...
TRANSCRIPT
Forming equations from words- Instruction/Examples
Algebraically solve real world problems!
For example…
We have a rectangle with sides 10cm and 6cm and need to create a box. To do this we need to cut a square out of each corner to fold into a box. Make a equation to model the volume of the box.
How?
1. Automatically we know to get the volume of a cube is side x side x side.
2. So we need to remove 2x’s(the corners) from the sides to make up the height of the cube (6-2X’s) and (10- 2X’s) and X. X being the height of the new box.
The Result
We can plug in the sides in the normal volume of a cube equation to get the maximum and minimum volumes for our cube folded from our 2D 6x10 box.
So x(6-2x)(10-2x) is our equation for the cube. Congratulations!
Try and model a function from this problem…
Jimmy Bieber, Justin Bieber’s second-best brother was traveling an average of 57 miles per hour on a 978 mile trip. How long did this trip take?
The Answer
17.157 hours. We get this by… 978 miles/57 mph=17.157 hours How many minutes is this?
› 17.157 hours/60 minutes in one hour This is 1029.47 minutes or 17 hours
and 9 minutes.