Question

U.S census bureau data shows that the number of families in the United States (in millions) in year x is given by h(x)= 51.42 + 15.473 + log x, where x=0 is 1980. how many families were there in 2002?

A. 90 million
B. 48 million
C. 72 million
D. 21 million

Answer 1

C. 72 million

Explanation:

Put the appropriate value of x into the correct formula and do the arithmetic.

... For the year 2002, x = 2002 -1980 = 22.

Then the population estimate is ...

... h(22) = 51.42 +15.473·log(22)

... = 51.42 +15.473·1.3424

... = 51.42 +20.77

... = 72.19 ≈ 72 . . . . million . . . . . matches choice C.