Question

The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points ​(6​,4800​) and ​(15​,12000​) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for?

Answer 1

The weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Recall:

Unit rate is calculated using: $\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }$

Unit rate represents the amount of a quantity compared to its unit of measure.

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Since the relationship between number of workers and weekly cost is proportional, we would apply $\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }$ in determining the weekly cost per worker using the points, ​(6​, 4800​) and ​(15​, 12000​):

• Substitute

Unit rate/weekly cost per worker = $\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800$

Unit rate/weekly cost per worker = $800

In summary, the weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

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