IM3.1.1 Inverse Linear Functions

Author:
Lind, Jon
Looking online, Carlos found a company that will sell 8 pounds of Brutus Bites for $6 plus a flat $5 shipping charge for each order. The company advertises that they will sell any amount of food at the same price per pound.
  • Model the relationship between the price and the amount of food using Carlos’ approach (where the number of pounds is the input). (Graph the relationship by writing the function in the input pane below. Make sure to label your axes.)
  • Model the relationship between the price and the amount of food using Clarita's approach (where the number of dollars is the input). (Graph the relationship by writing the function in the input pane below. Make sure to label your axes.)

  1. What is the relationship between these two functions? How do you know?
  2. Use function notation to write the relationship between the functions.
  3. Should Clarita and Carlos buy their Brutus Bites from this company or the one we looked at in class? Why?