NAME:
DATE:
The Valley High School dance team wants to buy new equipment. To
help raise money they decide to sell hotdogs at all the home sporting
events. To start the fund-raiser the dancers need $200 worth of
equipment and supplies. They plan on selling each hotdog for $.75.
Create a table of values (be sure include at least 6 values) calculating the
profit earned for selling x amount of hotdogs.
Create a graph of a function that is represented by your table of values:
Writing Equations – Hotdogs and Dancing
Page 1 of 4
Write the function that represents this situation.
How many hotdogs would they have to sell to break even?
1. Explain how to find the break even point using the table
2. Explain how to find the break even point using the graph
3. Explain how to find the break even point using the function
4. Do all three ways yield the same result? Explain.
Determine a reasonable domain and range of the function as it fits this
situation.
If they need to earn $75 for each dancer and there are 12 dancers on the
team, how many hotdogs would they need to sell in order to cover the
costs for each dancer? Explain which method you used to answer the
question.
Writing Equations – Hotdogs and Dancing
Page 2 of 4
Hotdogs and Dancing – TEACHING NOTES
NAME:
DATE:
The Valley High School dance team wants to buy new equipment. To
help raise money they decide to sell hotdogs at all the home sporting
events. To start the fund-raiser the dancers need $200 worth of
equipment and supplies. They plan on selling each hotdog for $.75.
Create a table of values (be sure include at least 6 values) calculating the
profit earned for selling x amount of hotdogs.
ANSWERS VARY – CHECK TO SEE IF YOUR STUDENTS ARE PICKING
REASONABLE VALUES BASED ON THE CONTEXT OF THE
SITUATION
Create a graph of a function that is represented by your table of values:
CHECK TO SEE HOW THE STUDENT SETS-UP THE GRAPH –
ENSURE THEY ARE PICKING REASONABLE SCALE TO MODEL THE
SITUATION
Writing Equations – Hotdogs and Dancing
Page 3 of 4
Write the function that represents this situation.
f(x)=.75x - 200
How many hotdogs would they have to sell to break even?
267
1. Explain how to find the break even point using the table
2. Explain how to find the break even point using the graph
3. Explain how to find the break even point using the function
4. Do all three ways yield the same result? Explain.
Determine a reasonable domain and range of the function as it fits this
situation.
If they need to earn $75 for each dancer and there are 12 dancers on the
team, how many hotdogs would they need to sell in order to cover the
costs for each dancer? Explain which method you used to answer the
question.
1,467
Think of your high school. Is this a reasonable way to raise money based
the number of students, staff, and community members present at your
sporting events? Explain.
Assume there were only 550 students in your high school. What would
you change in this situation, in order to raise enough money for the
dance team?
Writing Equations – Hotdogs and Dancing
Page 4 of 4