Question

The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?

Answer 1

Begin by using simultaneous equations to find the values of x and y.

y=-0.38x+56.6
y=0.38x+43.4

-0.38x+56.6=0.38x+43.4
-0.38x-0.38x=-56.6+43.4
-0.76x=-13.3
x=-13.3/-0.76
x=17.5

y=0.38(17.5)+56.6
y=63.25

Knowing that the initial year was 1968, add 17.5 years to find to find out when the same percent of men and women received a bachelor's degree.

1968+17.5= 1985.5

So, in the year 1985 and half, both men and women got the same number of bachelor's degrees.

Hope I helped :)