Question

In 2009, there were 6.1 million females enrolled in degree granting institutions of higher education. over the next several years this number increased at a rate of 400,000 per year. estimate the number of females enrolled in 2024. y = ______ millionthe equation of the line that models this information is;y = 0.4t + 6.1Determine what year 12.9 million females will be enrolled.

Answer 1

Notice that

400,000 = 0.4 million

That's why the equation that models that information has the factor 0.4, since it expresses the result in millions of females.

Now, we need to notice that t, in the expression 0.4t + 6.1, is the number of years passed since 2009. So, in the year 2024, we have:

t = 2024 - 2009 = 15

Therefore, the number of females enrolled in 2024 can be estimated to be:

y = (0.4 * 15 + 6.1) million

y = (6 + 6.1) million

y = 12.1 million

Now, to determine the year when 12.9 million females will be enrolled, we first need to find t corresponding to y = 12.9, and then add it to the year 2009.

y = 0.4t + 6.1​

12.9 = 0.4t + 6.1

12.9 - 6.1 = 0.4t

6.8 = 0.4t

t = 6.8/0.4

t = 68/4

t = 17

Therefore, the year when it happens will be:

2009 + 17 = 2026