4. 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.

6. 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.

7.  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!

8.  Find the area of a rectangle whose length is 5 more than its width.  GO!

9.  x(x+5)  What did you get?

10.  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?

11.  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.

12.  Are there any questions on this lesson?

13.  Demana, Franklin D., Bert K. Waits, Gregory D. Foley, and Daniel Kennedy. Precalculus Book. 8th ed. N.p.: Addison- Wesley, n.d. Print.  Google.com/images?q=