You need to prepare for your meeting with the BeeSwaks executives by writing and graphing functions so that you can compare the volumes and resulting production costs of each candle. The BeeSwaks executives want to see detailed support for the calculations done by their production staff, so you should come armed with labeled graphs and worked-out equations to support them. 1) Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two polynomial functions so that you can compare volumes for different values of x. Compare the volumes. ( my equations, figured out in Lesson 1 below) Brick candle equation- V= x^3-x^2 Eqyptian candle equation- V= 7x^2 2) Use the graph from Question 1 to identify where the volumes are equal. Confirm this value by writing and solving an equation that describes the difference between the volumes of the candle types. 3) . The same wax will be used to make each candle, and it costs 3/4 of 1¢ per cubic centimeter. Write polynomial functions to show the cost of the wax that is used for making each candle for different values of x. Graph the functions. Discuss the costs.
You need to prepare for your meeting with the BeeSwaks executives by writing and graphing functions so that
you can compare the volumes and resulting production costs of each candle. The BeeSwaks executives want to
see detailed support for the calculations done by their production staff, so you should come armed with labeled
graphs and worked-out equations to support them.
1) Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two
polynomial functions so that you can compare volumes for different values of x. Compare the volumes.
( my equations, figured out in Lesson 1 below)
Brick candle equation- V= x^3-x^2
Eqyptian candle equation- V= 7x^2
2) Use the graph from Question 1 to identify where the volumes are equal. Confirm this value by writing and
solving an equation that describes the difference between the volumes of the candle types.
3) . The same wax will be used to make each candle, and it costs 3/4 of 1¢ per cubic centimeter. Write polynomial
functions to show the cost of the wax that is used for making each candle for different values of x. Graph the
functions. Discuss the costs.
table of information about candle from Lesson 1
| name | the brick | the egyptian | |
| shape | rectangular prism | right square pyramid | |
| base | dimensions can vary, but it must be a square | same dimensions as base of the brick | |
| height | 1 cm less than the side length of the base | 21 cm |
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