Plan a Car Wash Fundraiser With Functions
Written by Adi Ackerman, Head Teacher
"Plan a Car Wash Fundraiser With Functions" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.F.B.4. A 7th grader who is already steady on functions can use it too, and an older student can use it as a short review.
2 pages in this set
8th grade math worksheet: model a car wash fundraiser with $72 in supplies and $8 a car, then compare Plan A and Plan B. Answer key included. Part of our comparing and modeling functions collection. Aligned to Common Core standards.
How do I use this worksheet?
Use the comparing sheet first so students can read rate and initial value in any form. Then assign the car wash task as a project or a group activity.
What students will practice
- Students will write profit as a linear function of cars washed.
- Students will graph the function and find the break even point.
- Students will compare two plans and recommend one for 25 cars.
What Makes a Relation a Function
Functions From Sets of Ordered Pairs
Functions From Input-Output Tables
Is the Relation a Function? Mapping Diagrams
Functions From Graphs, Vertical Line Test
Check for Functions in Five Forms
Linear or Nonlinear From Graphs and Equations
Linear or Nonlinear From Tables, Constant Differences
Curriculum Links
Common Core State Standards
Functions · 8th Grade
Standard: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
View all 8.F.B.4 worksheets →Find this in the curriculum
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FAQ
How do I use this comparing and modeling functions worksheet?
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Use the comparing sheet first so students can read rate and initial value in any form. Then assign the car wash task as a project or a group activity.
What does this worksheet teach?
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Model a car wash fundraiser with $72 in supplies and $8 a car, then compare Plan A and Plan B. The directions on the page read: Use the sample data to answer each part. Show your work in the boxes. An answer key is included.
Can I use this comparing and modeling functions worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade functions, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you compare two functions given in different forms?
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Find the rate of change and the initial value of each, whether it is a table, a graph, an equation or a description. Then compare them or find each value at the same x.
What is the initial value of a function?
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It is the output when the input is 0, the b in y = mx + b. In the car wash task, the initial value is the negative $72 spent on supplies before any cars are washed.
What is a break even point in a profit function?
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It is the input where the profit is $0. In Plan a Car Wash Fundraiser With Functions, students find how many cars the class must wash to cover the supply cost.
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What Makes a Relation a Function
Functions From Sets of Ordered Pairs
Functions From Input-Output Tables
Is the Relation a Function? Mapping Diagrams
Functions From Graphs, Vertical Line Test
Check for Functions in Five Forms
Linear or Nonlinear From Graphs and Equations
Linear or Nonlinear From Tables, Constant Differences