The graphs above show United States Census Bureau population figures for the year for various age groups, together with projections for the year . Of the following age groups, for which is the projected percent increase in population from to greatest?

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The correct answer is D.

To determine for which of the five age groups in the options the projected percent increase in population from to is greatest, estimate the ratio of the projection for the year to the population figure for for each age group. Each of the ratios described is equal to plus the decimal corresponding to the projected percent increase in population from to , so the greatest ratio will correspond to the greatest projected percent increase in population.

For the age group, the ratio is less than , since the projected population is less than million and the population is greater than million. Thus the projected percent increase in population from to for this age group is less than percent.

For the age group, the ratio is less than , since the projected population is less than million and the population is greater than million. Thus the projected percent increase in population from to for this age group is less than percent.

For the age group, the ratio is less than , since the projected population is less than million and the population is greater than million. The projected percent increase in population from to for this age group is less than percent.

For the year age group, the ratio is approximately million to million, or as a decimal, , corresponding to an approximate percent increase in population for this age group.

For the year age group, the ratio is approximately million to million, or as a decimal, approximately , corresponding to an approximate percent increase in population for this age group.

Therefore, the year age group has the greatest projected percent increase in population from to among the given options.