Question

The number of women elected to the us house of representatives has increased nearly every congress since 1985 in ths 99th Congress to beginning in 1985 there were 22 female representatives in the 109th Congress beginning in 2005 there were 68 female representatives write a linear eauation that models the number of female members lf the house of representatives x years after 1985

Answer 1

Answer:

y = 2 · 3 x + 22

Step-by-step explanation:

Analysis: Number of female representatives in 1985 = 22

This can be represented by the point (0,22).

Number of representatives in 2005 = 68.

This can be represented by the point (2205-1985,68)

= (20,68)

Slope of the line : $\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =$ 2 · 3

∴ Equation of the line :  y = mx + c

⇒ 22 = 2 · 3 (0) + c

⇒ C = 22

∴  y = 2 · 3 x + 22