Using data starting with 1950 and projected to 2050, the number of women (in millions) in the workforce is given by the function Upper P equals 0.79 x plus 20.86, where x equals the number of years after 1950.

Question

Using data starting with 1950 and projected to​ 2050, the number of women​ (in millions) in the workforce is given by the function Upper P equals 0.79 x plus 20.86​, where x equals the number of years after 1950.

What is the meaning of this value of​ P?
A.
The value of P represents the number of women who will join the work force between the years 1900 and 1937.
B.
The value of P represents the number of women in the workforce in the year 1937.
C.
The value of P represents the number of women who will join the work force between the years 1950 and 1987.
D.
The value of P represents the number of women in the workforce in the year 1987.
Part 3

GPT-4o mini · Answer

To understand the meaning of the function \( P = 0.79x + 20.86 \), let's analyze the variables involved:

\( P \): This represents the number of women (in millions) in the workforce.
\( x \): This is the number of years after 1950.

Analyzing the Options

Option A: The value of P represents the number of women who will join the workforce between the years 1900 and 1937.
- Incorrect, as the function begins at 1950, not 1900 or 1937.
Option B: The value of P represents the number of women in the workforce in the year 1937.
- Incorrect, as the year 1937 is before the starting point of 1950.
Option C: The value of P represents the number of women who will join the workforce between the years 1950 and 1987.
- Partially relevant, but the function calculates the total number of women in the workforce at a specific year rather than just those joining in that timeframe.
Option D: The value of P represents the number of women in the workforce in the year 1987.
- Correct, since to find \( P \) for 1987, we would calculate \( x \) for that year: \[ x = 1987 - 1950 = 37 \] Plugging this value into the function: \[ P = 0.79(37) + 20.86 \approx 29.23 \] Thus, \( P \) gives the total number of women in the workforce in millions in the year 1987.

Conclusion

The correct answer is D. The value of P represents the number of women in the workforce in the year 1987.

Using data starting with 1950 and projected to​ 2050, the number of women​ (in millions) in the workforce is given by the function Upper P equals 0.79 x plus 20.86​, where x equals the number of years after 1950.

Analyzing the Options

Conclusion

Using data starting with 1950 and projected to 2050, the number of women (in millions) in the workforce is given by the function Upper P equals 0.79 x plus 20.86, where x equals the number of years after 1950.