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A large set of data was collected and analyzed for the majors of college seniors in the U.S. From the scatter plots produced the following associations were observed. The linear model P(t) 2,376 + 73,219 can be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000 - The linear model B(t) = 2, 414t + 56, 545 can be used to estimate the number of college ( seniors who graduated with a bachelor's degree in biology, tyears after 2000. Which of the following statements are true? The number of psychology degrees increases by about 73,219 each year after 2000. 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. About 2.400 students graduated with degrees in biology in 2000. in 2000, more students graduated with psychology degrees than biology degrees​

Sagot :

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​.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

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 https://brainly.com/question/24808124

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