Question

The percentage of U.S. college freshmen claiming no religious affiliation has risen in recent decades. The bar graph shows the
percentage of first-year college students claiming no religious affiliation for four selected years from 1980 through 2012
a. Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Round the
percentage to the nearest tenth.
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,

Answer 1

Answer:

0.5%/year

24.2%

Step-by-step explanation:

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation

Percentage of females by year:

1980 = 6.2%

1990 = 10.8%

2000 = 13.6%

2012 = 21.7%

Average yearly increase :

Percentage increase between 1980 - 2012 :

2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years

15.5 % / 32 years = 0.484375% / year = 0.5%/year

b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,

Given an average increase of 0.484375% / year

(2030 - 1980) = 50 years

Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.

=24.2% (nearest tenth)

Answer 2

In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;

A) $0.5\%/year$

B) $24.2\%$

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation.  Percentage of females by year:

$1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%$

A) Average yearly increase  can be caculeted by:

$2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year$

B)  Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:

$(2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%$

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