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Question: SINGLE FEMALE-HEADED HOUSEHOLDS WITH CHILDREN The percentage of families with children that are headed by single females grew at the rate of

R(t) = 0.8499t2 - 3.872t + 5      (0 ≤ t ≤ 3)

Households/decade between 1970 (t = 0) and 2000 (t = 3). The number of such households stood at 5.6% of all families in 1970.

a. Find an expression giving the percentage of these households in the t th decade.

b. If the trend continued, estimate the percentage of these households in 2010.

c. What was the net increase in the percentage of these households from 1970 to 2000?

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