Linear Equations Project Based Learning

to rate times time.
a. So, if we’ve been running for 15 sec., write an expression for the distance between us
given my unknown rate and her unknown rate. (5 points)
b. How much distance is between us if: (5 points)
1. I run 13 m/sec and she runs 12 m/sec?
2. I run 10 m/sec and she runs 5 m/sec?
3. I run 11 m/sec and she runs 11 m/sec? (What does that mean?)

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4. I run 10 m/sec and she runs 11 m/sec? (What does that mean?!)
PART II: Graphing Linear Equations by Using a Table
3. The Algebra class wanted to start a business selling bagels in the entryway of the school in the
mornings. If they charge $0.50 per bagel, graph the revenue curve. (10 points)
Hint: Revenue is how much money you make when you sell something. How can you write an
equation that shows how much money I make if I sell x amount of bagels for $0.50 each?
a. Write an equation that represents the revenue curve.
b. Graph this equation on a coordinate plane by finding points to graph. Do this on a separate
piece of graph paper. Be sure to use values of x that make sense for your domain, and label your
axis with numbers and titles, AND each graph so I know what graph pertains to which
problem.
X
Equation:
(x,y)
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40
60
80
100
4. Now, the Algebra class wants to use a graph to predict their total costs associated with selling
bagels. Suppose that the fixed cost of the business amount to $10 and that the variable cost per
bagel is $0.25 per bagel. (10 points)
a. Write an equation that represents the cost curve.
b. Graph this equation on a coordinate plane by finding points to graph. Do this on a separate
piece of graph paper. Be sure to use values of x that make sense for your domain, and label your