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Timed Test For
Graphing proportional relationships
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Sample Problem
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below. |Day $1$|Day $2$|Day $3$ -:|-:|-:|-: Hours worked|$5$|$4$|$6$ Amount paid|$\$300$|$\$240$|$\$360$ **What is the painter's *unit rate* of change of dollars with respect to time; that is, how much is the painter paid for *one* hour worked? ** The unit rate of change is [[☃ math-keypad 1]] dollars per hour. **Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.** [[☃ interactive-graph 1]] Graph the relationship.
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.
Day
1
1
1
Day
2
2
2
Day
3
3
3
Hours worked
5
5
5
4
4
4
6
6
6
Amount paid
$
300
\$300
$
3
0
0
$
240
\$240
$
2
4
0
$
360
\$360
$
3
6
0
What is the painter's
unit rate
of change of dollars with respect to time; that is, how much is the painter paid for
one
hour worked?
The unit rate of change is
Check Answer
dollars per hour.
Graph the proportional relationship described above, with the
x
x
x
-coordinate representing hours worked, and the
y
y
y
-coordinate representing amount paid in dollars.
Created with Raphaël
Created with Raphaël
1
\small{1}
1
2
\small{2}
2
3
\small{3}
3
4
\small{4}
4
20
\small{20}
2
0
40
\small{40}
4
0
60
\small{60}
6
0
80
\small{80}
8
0
y
y
y
x
x
x
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Graph the relationship.
What's your name?
Duration
30 seconds
60 seconds (1 minute)
120 seconds (2 minutes)
180 seconds (3 minutes)
300 seconds (5 minutes)