Wife is under 18 Wife is over 25 at time of marriage. at time of marriage. d = 4n + 5 d = 2.3n + 1.5. %3D Probability of Divorce, by Wife's Age at Marriage 70% 60% Wife is under 50% age 18. 40% 30% 20% Wife is over 10% age 25. 10 15 Years after Marrying Percentage of Marriages Ending in Divorce

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The line graphs in Figure  show the percentages of marriages ending in divorce based on the wife’s age at marriage.Here are two mathematical models that approximate the data displayed by the line graphs:
In each model, the variable n is the number of years after marriage and the variable d is the percentage of marriages ending in divorce.
a. Use the appropriate formula to determine the percentage of marriages
ending in divorce after 10 years when the wife is over 25 at the time of
marriage.
b. Use the appropriate line graph in Figure  to determine the  percentage
of marriages ending in divorce after 10 years when the wife is over 25 at the time of marriage.
c. Does the value given by the mathematical model underestimate or overestimate the actual percentage of marriages ending in divorce after
10 years as shown by the graph? By how much?

Wife is under 18
Wife is over 25
at time of marriage.
at time of marriage.
d = 4n + 5
d = 2.3n + 1.5.
%3D
Transcribed Image Text:Wife is under 18 Wife is over 25 at time of marriage. at time of marriage. d = 4n + 5 d = 2.3n + 1.5. %3D
Probability of Divorce, by Wife's Age at Marriage
70%
60%
Wife is under
50%
age 18.
40%
30%
20%
Wife is over
10%
age 25.
10
15
Years after Marrying
Percentage of Marriages
Ending in Divorce
Transcribed Image Text:Probability of Divorce, by Wife's Age at Marriage 70% 60% Wife is under 50% age 18. 40% 30% 20% Wife is over 10% age 25. 10 15 Years after Marrying Percentage of Marriages Ending in Divorce
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