Question

# Since the creation of a social​ program, the percent of persons 65 years and over with...

Since the creation of a social​ program, the percent of persons 65 years and over with a family income below the poverty level has declined. The percent can be approximated by the function

​P(t)equals=30.8830.88minus−5.795.79ln tlnt​,

where t is the number of years since 1965. Answer parts a. through d. below.

Find the percent of persons 65 years and over with family income below the poverty level and the rate of change

in 1970in 1970.

The percent of persons 65 years and over with family income below the poverty level in 1970 was

nothing​%.

​(Round to two decimal places as​ needed.)

The rate of change of the percent of persons 65 years and over with family income below the poverty level in 1970 was

nothing​%.

​(Round to four decimal places as​ needed.)

b. Find the percent of persons 65 years and over with family income below the poverty level and the rate of change in 1990.in 1990.

The percent of persons 65 years and over with family income below the poverty level in 1990 was

nothing​%.

​(Round to two decimal places as​ needed.)

The rate of change of the percent of persons 65 years and over with family income below the poverty level in 1990 was

nothing​%.

​(Round to four decimal places as​ needed.)

c. Find the percent of persons 65 years and over with family income below the poverty level and the rate of change

in 2010in 2010.

The percent of persons 65 years and over with family income below the poverty level in 2010 was

nothing​%.

​(Round to two decimal places as​ needed.)

The rate of change of the percent of persons 65 years and over with family income below the poverty level in 2010 was

nothing​%.

​(Round to four decimal places as​ needed.)

d. What happens to the rate of change over​ time?

A.The rate of change over time is approaching

infinity∞.

B.

The rate of change over time is approaching 0.

C.The rate of change over time is approaching

minus−infinity∞.