How is making a table of equivalent ratios to find the unit rate similar to finding the unit rate by calculating with fractions? Use a specific example to explain your reasoning.

Using specific examples, the unit rate can be obtained using equivalent ratio tables and fraction thus :

Table of equivalent ratios :

No of workers : 2 4 6 8

Logs of wood cut: __ 4 8 12 16

To obtain the unit rate from the table :

Take the ratio of any pair of values ;

Hence, the unit rate is 2 logs of wood per worker.

Using the fractions :

2 worker = 4 logs of wood

1 worker = x

Cross multiply

2x = 4

x = 4/2

x = 2 logs of wood.

Hence, the unit rate is 2 logs of wood per worker.

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