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The data displayed by the graph indicate that in 2000,
45% of U.S. adults believed most qualified students get to
attend college. For the period from 2000 through 2010, the
percentage who believed that a college education is available
to most qualified students decreased by approximately 1.7
each year. If this trend continues, by which year will only 11%
of all American adults believe that most qualified students
get to attend college?

The data displayed by the graph indicate that in 2000 45 of US adults believed most qualified students get to attend college For the period from 2000 through 20 class=

Respuesta :

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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A decaying linear function has the following format:

[tex]A(t) = A(0) - mt[/tex]

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, [tex]A(0) = 45[/tex]
  • Decaying by 1.7 each year, thus [tex]m = 1.7[/tex].

The equation is:

[tex]A(t) = 45 - 1.7t[/tex]

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

[tex]11 = 45 - 1.7t[/tex]

[tex]1.7t = 34[/tex]

[tex]t = \frac{34}{1.7}[/tex]

[tex]t = 20[/tex]

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at https://brainly.com/question/24282972

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