Respuesta :

Answer:

  82.49 percent were at least high school graduates.

Step-by-step explanation:

We have been given that at 1950  x=0

and at 1960  x=10

And following this pattern at 2000 x=50

So, we have coordinates:

(0,34.7) and (50,87.8) for two point form we will find a function:

Using:[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)[/tex]

Substituting the values in the formula we get:

[tex]y-34.7=\frac{87.8-34.7}{50-0}(x-0)[/tex]

[tex]y-34.7=1.062(x)[/tex]

y=1.062 x+34.7 is the linear function

(b) Now, we need to find the value at x= 1995 which will be equal to 45 according to the pattern followed

Put x=1995 in the function above we get:

y =1.062(45)+34.7

y=82.49 percent were at least high school graduates.