7-3 The number of bachelor\'s degrees conferred has been increasing steadily in

Question

7-3

The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of change of the number of bachelor's degrees (in thousands) can be approximated by the following function where t is the number of years since 1970. B'(t) =00819t^2-1.418t+15.58 Complete parts a. and b. below a. Find B(t), given that about 859,300 degrees were conferred in 1970 (t = 0) b. Use the formula from part a. to project the number of bachelor's degrees that will be conferred in 2020 (t = 50). In 2020 the projected number of bachelor?s degrees to be conferred is . (Do not round until the final answer Then round to the nearest integer as needed.)

Explanation / Answer

B(t) = integral of B'(t) = 0.0819/3 t^3 - 1.448 t^2/2 + 15.58 t + C

use B(0) = 859300

so B(t) = 0.0819/3 t^3 - 1.448 t^2/2 + 15.58 t + 859300

b)

so B(50) = 0.0819/3 50^3 - 1.448 50^2/2 + 15.58 50 + 859300=861682

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