Algebra 2
Cloudy with a Chance of Meatballs Function Project
Name __________________________________
You are to create a poster with each of the following four sections and containing the following requirements
1) Colorful and creative
2) Mathematically accurate
3) Neatly organized and easy to understand
Sam: “You may have seen a meteor shower, but I bet you've never seen a shower "meatier" than this”
The relationship in the table to the right is a function representing the weight of hamburgers produced by the FLDSMDFR.
a) Copy the table onto your poster
Days of
Weight of
b) Define your variables
Production
Hamburgers
c) Label variables as independent or dependent
2
1.5 lbs
d) Determine whether the independent variable varies directly with the dependent variable.
5
3.75 lbs
If so, find the constant of variation and write the function equation.
6
4.5 lbs
e) Graph your equation.
f) Assuming the FLDSMDFR was destroyed after 16 days, determine a reasonable domain
11
8.25 lbs
and range for your function.
12
g) If the FLDSMDFR was never destroyed, how many days would it take until the
15
hamburgers weighed at least 80 pounds? (show all work on your poster)
Mayor Shelbourne: “Hey, Flint. It’s been nice to beet you.” – Flint: “That’s a radish!”
Before food started raining out of the sky, Mayor Shelbourne’s pants size was 34 inches around. 2 days after the FLDSMDFR
was launched into the sky his pants size hand grown to 40 inches!
a) Define your variables
b) Label variables as independent or dependent
c) Write an equation to model the situation of the Mayor’s pants.
d) State whether or not this is a direct variation equation and explain why/why not.
e) Assuming Flint destroyed the FLDSMDFR after 16 days, determine a reasonable domain and range for your function.
f) After how many days was the Mayor’s pants size at most 50? (show all work on your poster)
Manny: “I am also a particle physicist.” – Sam: “Really?” – Manny: “No, that was a joke. I am also a comedian.”
The following graph represents the plane’s altitude as Flint and friends destroy the FLDSMDFR and save the day.
a) Copy the graph onto your poster
b) Label the following on your graph
• Manny takes over piloting
• Flint loses control of the plane
• Manny returns the plane home
• Manny takes the plane up to wait while Sam, Brent, and Flint destroy
the FLDSMDFR
• Flint flies the plane towards to FLDSMDFR
c) Write a piecewise function that represents the graph.
Earl: “This contact lens represents you! And my eye represents my eye! I’ve got my *eye* on you!”
Open-Ended: Create a graph to represent another relationship from the movie. Label your graph extensively as above and write a
piecewise function to represent it.