Which equations have a greater unit rate than the rate represented in the table?
xy
32
64
96
Oy=5¹
0 y=r
Oy=11³
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The equation that has a greater unit rate than the rate represented in the table is (a) y = 5/7x
The table of values is given as:
x y
3 2
6 4
9 6
The unit rate is calculated as:
Unit rate = (y2 - y1)/(x2 - x1)
This gives
Unit rate = (4 - 2)/6 - 3)
Evaluate
Unit rate = 2/3
Linear equations are represented by
y = mx + c
Where m represents the unit rate
From the given options, the equation y = 5/7 x has a unit rate of 5/7
5/7 is greater than 2/3
Hence, the equation that has a greater unit rate than the rate represented in the table is (a) y = 5/7x
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