Problema Solution
after declining between 1940 and 1980, the number of multigenerational households has been increasing since 1980. The function h(x)=0.012x^2-0.573x+35.724 can be used to estimate the number of multigenerational households in country A, in millions, x years after 1940. In what year were there 40 million multigenerational households?
Answer provided by our tutors
We need to find x such that h(x) = 40 that is, we need to solve:
0.012x^2-0.573x+35.724 = 40
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click here to see the equation solved for x
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x = 54 years approximately
We need to ignore the negative solution for x since x can be only positive.
54 years after 1940 is 1940 + 54 = 1994
In the year of 1994 there were 40 million multigenerational households.