To find the value of \( P \) (the number of women in millions in the workforce) for a specific year, we first need to determine the value of \( x \), which is the number of years after 1950.
For example, if you want to find \( P \) for the year 2023:
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Calculate \( x \): \[ x = 2023 - 1950 = 73 \]
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Substitute \( x \) into the function \( P \): \[ P = 0.79x + 20.86 \] \[ P = 0.79(73) + 20.86 \] \[ P = 57.67 + 20.86 \] \[ P \approx 78.53 \]
So, in 2023, the number of women in the workforce is projected to be approximately 78.53 million.
If you want to find \( P \) for a different year (for example, 2050), you would calculate \( x \) as follows:
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Calculate \( x \) for 2050: \[ x = 2050 - 1950 = 100 \]
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Substitute \( x \) into the function: \[ P = 0.79(100) + 20.86 \] \[ P = 79 + 20.86 \] \[ P = 99.86 \]
So, in 2050, the number of women in the workforce is projected to be approximately 99.86 million.
If you have a specific year in mind, please provide it, and I'll calculate \( P \) for that year.