Using linear function concepts, it is found that the true statements are as follows:
- The number of biology degrees increases by about 2.414 each year after 2000.
- About 73.000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.
In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:
P(t) = 2,376t + 73,219.
For biology, it is given by:
B(t) = 2,414t + 56, 545
Hence, the correct statements are:
- The number of biology degrees increases by about 2.414 each year after 2000.
- About 73.000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
A f(n)=8(0.75)^n
Step-by-step explanation:
After the first bounce, the height is 8·0.75 = 6 ft. Each subsequent bounce multiplies the previous height by 0.75, so the height after n bounces is ...
f(n) = 8·0.75^n . . . . matches choice A
Answer:
Step-by-step explanation:
At the point (0, 1,0) t = 0
Find the tangent vector:



The tangent vector for all points
is


The vector equation of the tangent line is

The parametric equation for this line are


