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.

x=51

he value of x that represents 2020 is xequals
  
enter your response here.

The number of women in the workforce in 2020 will be
  
enter your response here million.

1 answer

To find the value of \( x \) that represents the year 2020, we can use the formula:

\[ x = \text{year} - 1950 \]

For the year 2020:

\[ x = 2020 - 1950 = 70 \]

Now, to find the number of women in the workforce in 2020, we can substitute \( x = 70 \) into the function \( P \):

\[ P = 0.79x + 20.86 \]

Substituting \( x = 70 \):

\[ P = 0.79(70) + 20.86 \] \[ P = 55.3 + 20.86 \] \[ P = 76.16 \]

Thus, the number of women in the workforce in 2020 will be approximately 76.16 million.

Final Responses:

  • The value of \( x \) that represents 2020 is \( 70 \).
  • The number of women in the workforce in 2020 will be approximately \( 76.16 \) million.