Question

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?

Answer 1

To find the year when there were 50 million multigenerational households, we can use the equation h(x) = 0.012x^2 - 0.543x + 35.723 and solve for x.

Step-by-step explanation:

To find the year when there were 50 million multigenerational households, we need to find the value of x in the function h(x) = 0.012x^2 - 0.543x + 35.723 that corresponds to 50 million. We can set the equation equal to 50 and solve for x:

0.012x^2 - 0.543x + 35.723 = 50

0.012x^2 - 0.543x - 14.277 = 0

We can then use the quadratic formula or factoring to solve for x. Once we find the value of x, we can add it to 1940 to get the year when there were 50 million multigenerational households.

Answer 2

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!