Aim: How can we graph proportional relationships?
Homework: Showerhead Problem
The dry cleaning fee for 3 pairs of pants is $18.
a. What is the constant of proportionality?
b. How much will the dry cleaner charge for 11 pairs of pants?
The class again investigated proportional relationships and saw the connection between tables, graphs, and equations. The big idea for today's class is:
When graphed, proportional relationships are STRAIGHT LINES THROUGH THE ORIGIN (0,0).
We looked at shower heads that use a constant rate of water per minute. We used tables, graphs, and equations to compare the water consumption of different shower heads.
We also noticed that the constant of proportionality in proportional relationships turns out to be the unit rate.
We noticed that relationships, such as y = 3x + 5 cannot be proportional. Only relationships in the y = kx form can be proportional.