Name:
Unit 1 Test: Investigations 1 & 2
- a. Which table or tables show the patterns of a
linear relationship?
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x
y |
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-3 -7
-2 -5
-1 -3
0 -1
1 1
2 3
3
5 |
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x y |
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-3 3
-2 2
-1 1
0 0
1 1
2 2
3 3 |
b.
Describe how you decided whether the relationship between the variables
in each table was linear.
- The graph to the right shows gallons of gas consumed
by Jake’s
car compared to distance traveled.
- What would it mean in this situation if the line
were steeper than shown?
b. Put a scale on the axes, and write a question that can be
answered from your graph. Show
where
the answer can be found on your graph.
In 3-6 use this information: Matthias has a summer
job as a lifeguard earning $6.00 an hour. Jill has a summer job as a
carpenter’s helper earning $5.50 an hour.
- How many hours does each student have to work to make
$200.00? SHOW ALL THE WORK YOU DID TO FIND YOUR SOLUTION.
- If they both work 25 hours, how much more money will
Matthias earn than Jill? SHOW YOUR WORK.
- It takes Jill 23 hours to earn $126.50. How long
will it take Matthias to earn that much? SHOW YOUR WORK.
- Write an equation that shows how each student’s pay is
related to the number of hours he or she works.
- The following equations represents a possible walkathon
pledge plans.
Pledge Plan
1: m = 15 +
0.25d
Pledge Plan
2: m = 1.5d
- What do the numbers in each equation
represent? What do the variables represent?
- Make a table that shows how much money a sponsor
would pay, using the equation, if you walked 10
miles.
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Distance
(miles) |
Money Owed
(dollars)
Pledge Plan
1 Pledge Plan 2 |
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- Make a graph of the two pledge plans. Make sure
to label the axes correctly.
- Do the lines ever intersect? If so, what is the
point of intersection? Explain what this
means in terms of the pledge plan.
- What is the y-intercept for each line? How is
this represented in the equation? What does this mean in terms of
money owed at a certain distance?
Unit
Plan
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