Question

In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 410 men in that town earned bachelor degrees. Assume that the rate of change was constant between 2000 and 2010.

a. Without using regression, write a system of equations that model the number of bachelor degrees earned by men and women in Springfield as a function of x, the number of years since 2000. Show your work.
Equation for Springfield’s men:
Equation for Springfield’s women:

Answer 1

Women = 44.5

Men = 63.5

Explanation:

Answer 2

• See below

Explanation:

For women, the initial number is 6, constant rate of change is w, number of years is x.

Find the rate of change and work out the required formula:

• 10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5

Formula:

• W(x) = 38.5x + 6

Similarly for men, we get:

• 10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5

Formula:

• M(x) = 38.5x + 25