Percentage of U.S. Households in Which Married Couples Do Not Share the Same Faith 35% 32 1988 30% 2012 25% 20% 15% 12 10% 5% Faith/No Religion Marriage Interfaith Marriage Percentage of Households 26

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 58E: Forming an Experimental Group To conduct an experiment, researchers randomly select five students...
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In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion. The formula I = (1/4)x + 26. models the percentage of U.S. households with an interfaith marriage, I, x years after 1988. The formula N = (1/4)x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.

Use these models to solve: In which years will more than 15% of U.S. households have a person of faith married to someone with no religion?

Percentage of U.S. Households in Which Married
Couples Do Not Share the Same Faith
35%
32
1988
30%
2012
25%
20%
15%
12
10%
5%
Faith/No Religion
Marriage
Interfaith
Marriage
Percentage of
Households
26
Transcribed Image Text:Percentage of U.S. Households in Which Married Couples Do Not Share the Same Faith 35% 32 1988 30% 2012 25% 20% 15% 12 10% 5% Faith/No Religion Marriage Interfaith Marriage Percentage of Households 26
Expert Solution
Step 1

The formula for percent of U.S. households with an interfaith marriage,

I=x4+26

The formula for percent of households in which a person of faith is married to someone with no religion,

N=x4+6

According to the given condition,

N15%14x+61514x9x36

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