Which of the following rates does not belong with the other three?

32

pounds per

4

feet

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48

pounds per

6

feet

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16

pounds per

4

feet

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24

pounds per

3

feet

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Solution

The correct option is C $16$ pounds per $4$ feet
$16$ pounds per $4$ feet $\Rightarrow$ Unit rate $= \frac{16}{4} = 4$ pounds per foot

$24$ pounds per $3$ feet $\Rightarrow$ Unit rate $= \frac{24}{3} = 8$ pounds per foot

$32$ pounds per $4$ feet $\Rightarrow$ Unit rate $= \frac{32}{4} = 8$ pounds per foot

$48$ pounds per $6$ feet $\Rightarrow$ Unit rate $= \frac{48}{6} = 8$ pounds per foot

In options B, C, and D the unit rates are the same, that is, $8$ pounds per foot. The unit rate of option A is different, so it is the correct answer.

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