This document discusses graphing unit rates from proportional relationships. It provides examples of graphing points representing quantities and prices to determine the better unit rate deal. The unit rate is located at the point (1,r) on each line graph, where r is the numerical value of the unit rate. Students are asked to graph relationships for paint deals, boat racing speeds, and coffee costs. They are to determine the better deal or faster speed based on the unit rate represented by the point (1,r) on each line graph. Connecting the points to the origin shows the proportional relationships.

1. Day 19 Unit Rate Graphs.notebook December 06, 2012
AIM: Graphing Unit Rate
Do Now
Find the following unit rates.
1.) On a family trip, you drove 306 miles in
6 hours.
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2.) The other day, I ran of a mile is
1 5
of an hour
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2. Day 19 Unit Rate Graphs.notebook December 06, 2012
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3. Day 19 Unit Rate Graphs.notebook December 06, 2012
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4. Day 19 Unit Rate Graphs.notebook December 06, 2012
Anticipatory Set
The following is a graph of the total
price, y, for a number of bottles of
soda, x.
y
10
9
8
Total Price
7
6
5
4
3
2
1
x
0 1 2 3 4 5 6 7 8 9 10
Bottles of Soda
1.) What is the price for one bottle of
soda?
2.) What coordinate pair represents the
cost of one bottle?
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5. Day 19 Unit Rate Graphs.notebook December 06, 2012
Big Idea
In a proportional relationship, the unit
rate is located at point (1,r), where r
is the unit rate.
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6. Day 19 Unit Rate Graphs.notebook December 06, 2012
1.) A store has two different deals on quarts of paint.
One deal is 3 quarts for $21 and the other is 4 quarts for
$24. Graph these two points using x as number of
quarts and y as price.
a.) Connect the points to the origin.
b.) What is the better unit rate?
c.) How did you determine that?
d.) Where is unit rate located on the graph of the lines?
y
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1 x
0 1 2 3 4 5
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7. Day 19 Unit Rate Graphs.notebook December 06, 2012
2.) A different store has two deals on quarts of primer. One deal
is 3 quarts for $20 and the other is 4 quarts for $27. Graph these
two points using x as number of quarts and y as price.
a.) Connect the points to the origin.
b.) What is the better unit rate?
c.) How did you determine that?
d.) Where is unit rate located on the graph of the lines?
y
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
x
0 1 2 3 4 5
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8. Day 19 Unit Rate Graphs.notebook December 06, 2012
3.) Two sailboats are competing in the America’s Cup race. One boat
travels 155 miles in 5 hours and the other travels 198 miles in 6 hours.
Graph these points using x as time and y as distance.
a.) Connect the points to the origin.
b.) Which boat is going faster?
c.) How did you determine that?
d.) Where is unit rate located on the graph of the lines?
y
200
190
180
170
160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10 x
0 1 2 3 4 5 6
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9. Day 19 Unit Rate Graphs.notebook December 06, 2012
Illustrative Mathematics
7.RP Buying Coffee
Alignment 1: 7.RP.A.2
Coffee costs $18.96 for 3 pounds.
a. What is the cost per pound of coffee?
b. Let x be the number of pounds of coffee and y be the total cost of x
pounds. Draw a graph of the proportional relationship between the
number of pounds of coffee and the total cost.
c. Where can you see the cost per pound of coffee in the graph? What
is it?
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10. Day 19 Unit Rate Graphs.notebook December 06, 2012
y
x
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11. Day 19 Unit Rate Graphs.notebook December 06, 2012
Before You Leave
Write an equation to represent the Buying Coffee situation.
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12. Day 19 Unit Rate Graphs.notebook December 06, 2012
Homework
Homework Sheet
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