After declining between 1940 and 1980, the number of multigenerational households has been increasing since 1980. The function h (x) equals 0.012 x squared minus 0.543 x plus 35.723 can be used to estimate the number of multigenerational households in country A, in millions, x years after 1940. In what year were there 50 million multigenerational households?

In 2003 the number of multigenerational households was 50 million.

Step-by-step explanation:

Hi there!

Let's write the function:

h (x) = 0.012 x² - 0.543 x + 35.723

We have to find the value of x for which h (x) = 50. Then:

50 = 0.012 x² - 0.543 x + 35.723

0 = 0.012 x² - 0.543 x + 35.723 - 50

0 = 0.012 x² - 0.543 x - 14.277

Solving the quadratic equation using the quadratic formula:

x = 63.8 and x = - 18.6

Since the years can't be negative, the solution is x = 63.8. Then, in (1940 + 63) 2003 there were 50 million multigenerational households.

Have a nice day!