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What will be the rate of change in the size of Bianca's workforce between years $$3 and $$4?

Question

What will be the rate of change in the size of Bianca's workforce between years 3 and 4?

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Solution

To determine the rate of change in the size of Bianca's workforce between years 3 and 4, follow these steps:

  1. Identify the workforce size in year 3: Let's denote this size as W3 W_3 .

  2. Identify the workforce size in year 4: Let's denote this size as W4 W_4 .

  3. Calculate the difference in workforce size: Subtract the workforce size in year 3 from the workforce size in year 4. ΔW=W4W3 \Delta W = W_4 - W_3

  4. Determine the time interval: The time interval between year 3 and year 4 is 1 year.

  5. Calculate the rate of change: Divide the difference in workforce size by the time interval. Rate of Change=ΔW1 year=ΔW \text{Rate of Change} = \frac{\Delta W}{1 \text{ year}} = \Delta W

Thus, the rate of change in the size of Bianca's workforce between years 3 and 4 is ΔW \Delta W .

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