Nine hundred students attended the dedication ceremony of a new building on a co

Question

Nine hundred students attended the dedication ceremony of a new building on a college campus. The president of the traditionally female college announced a new expansion program, which included plans to make the college coeducational. The number of students who learned of the new program t hr later is given by the function.

f(t) =

If 1800 students on campus had heard about the new program 2 hr after the ceremony, how many students had heard about the policy after 6 hr? (Round your answer to the nearest integer.)

Explanation / Answer

After 2 hrs,

f(2) = 9000/ [1 + B* e^(-k*2)] =1800

B* e^(-k*2) = 4

At , t= 0hr, 900 student would have heard the announcement as they were attending the ceremony.

f(0) = 9000/ [1 + B* e^(-k*0)] =900

B = 9

Using, B= 9

9 * e^(-k*2) = 4

-2*k = ln(4/9)

k = 0.405

f(6) = 9000/ [1 + B* e^(-k*6)] = 9000/ [1 + 9* e^(-0.405*6)] =5021

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