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Timed Test For
Rates & proportional relationships
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Sample Problem
The unit rate of change of $y$ with respect to $x$ is the amount $y$ changes for a change of one unit in $x$. The table below represents a proportional relationship with a constant unit rate of change of $y$ with respect to $x$. **Which describes a greater unit rate of change of $y$ with respect to $x$, the equation $y=4.5x$ or the table?** |||| -:|-:|-:|-: $x$|$2$|$4$|$6$| $y$|$9$|$18$|$27$|
The unit rate of change of
y
y
y
with respect to
x
x
x
is the amount
y
y
y
changes for a change of one unit in
x
x
x
.
The table below represents a proportional relationship with a constant unit rate of change of
y
y
y
with respect to
x
x
x
.
Which describes a greater unit rate of change of
y
y
y
with respect to
x
x
x
, the equation
y
=
4.5
x
y=4.5x
y
=
4
.
5
x
or the table?
x
x
x
2
2
2
4
4
4
6
6
6
y
y
y
9
9
9
18
18
1
8
27
27
2
7
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Duration
30 seconds
60 seconds (1 minute)
120 seconds (2 minutes)
180 seconds (3 minutes)
300 seconds (5 minutes)