52. Bachelor\'s Degrees The number of bachelor\'s degrees conferred in the Unite

Question

52. Bachelor's Degrees The number of bachelor's degrees conferred in the United States has been increasing steadily in recent decades. Based on data from the National Center for Edu- cation Statistics, the rate of change of the number of bachelor's degrees (in thousands) can be approximated by the function B'(t) 006048t2-1.292t + 15.86, where t is the number of years since 1970. Source: National Center for Education Statistics. a. Find B(t), given that about 839,700 degrees were conferred in 1970 (t = 0). b. Use the formula from part a to project the number of 45) bachelor's degrees that will be conferred in 2015 (

Explanation / Answer

B'(t)=0.06048t2-1.292t+15.86

Integrating both sides

B(t)=(0.06048/3)t3-(1.292/2)t2+15.86t+C = 0.02016t3-0.646t2+15.86t+C

And B(0)=839700

839700=0-0+0+C

C=839700

a.B(t)= 0.02016t3-0.646t2+15.86t+839700

b. At t=45

B(45)= 0.02016(45)3-0.646(45)2+15.86(45)+839700=840942.63

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