Question

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Answer 1

we are given the following equation to determine the number of psycology graduates after the year 2000:

`P(t)=2376t+73219`

And we are given the following function for the number of graduates in biology after the year 2000:

`B(t)=2414t+56545`

a. The number of Psychology degrees increases by about 73219 each year.

Since the coefficient of "t" being "t" time in the equation for psychology is 2376, this means that the number of Psychology graduates increases by 2376 each year. the statement is False.

b.The number of Biology degrees increases by about 2414 each year.

Since "t" represents time, this means that the rate of increase of biology graduates is 2414. the statement is true.

c. About 73000 students graduated from Psychology in the year 2000

Since "t" represents time from the year 2000, this means that t = 0, represents the year 2000. Replacing t = 0 in the equation for P(t):

`\begin{gathered} P(0)=2376(0)+73219 \\ P(0)=73219 \end{gathered}`

Therefore, the number of psychology graduates in the year 200 is about 73219. the statement is true.

d) about 2400 students graduated from Biology in the year 2000.

We can use the same procedure to determine the number of graduates of Biology for the year 2000:

`\begin{gathered} B(0)=2414(0)+56545 \\ B(0)=56545 \end{gathered}`

Therefore, 56545 students graduated from biology in the year 2000. The statement is false.

e) In 2000 more students graduated from Psychology than from Biology.

In 2000 73219 students graduated from Psychology and 56545 from Biology. The statement is true.