Outcome 1: I can interpret and solve problems involving variation functions.
Learning Targets
Can You Do This?
a. I can create equations in one variable to
Coach Foster is a big One Direction fan, and wants to rent a party bus to take other
describe inverse relationships.
teachers to the big concert with him. The cost per person (evenly split) to rent a $500 per
night party bus is inversely related to the amount of people that are attending. Write an
equation that shows cost per person ( C ) as a function of number of people attending ( n ).
b. I can interpret the components of a
What is the real-world meaning of the constant of proportionality in the above problem?
variation function.
c. I can compare two variation and/or simple Identify the constant of proportionality in each of the following examples of inverse
power functions given tables, graphs, and
functions:
rules.
a)
b)
c)
x -1 0
1 2 3
4
y -8 error 8 4 223 2
d. I can solve inverse variation equations
using graphs, tables, or algebraic reasoning.
Suppose that the amount of time ( T ) it takes some number of construction workers (w ) to
build a house is represented by the function T(w) = 900w.
(According to the given function) How long would it take 7 workers to complete the
project?
(According to the given function) How many workers would be required to complete the
project in 100 hours?
e. I can use algebraic reasoning to solve for
any variable in a formula with one term.
HP: I can find the new constant of
proportionality given a rule of one function and
the transformed graph.
Rewrite the following function for v:
Rewrite the following function for m:
Self-Reflection