Question

Researchers identified college students who generally were procrastinators or​ non-procrastinators. The students were asked to report how many symptoms of physical illness they had experienced throughout the semester. By the end of the​ semester, most students had had some symptoms of physical illness regardless of their planning skills. The number of​ symptoms, y, reported for​ non-procrastinators was summarized in the​ function, equals.2x plus 6.5​, where x stands for the number of passed weeks of the semester.​ Similarly, equals.9xplus3 for procrastinators. Find the week in the semester where both groups of students reported the same number of symptoms.

Answer 1

Answer:3(3x+1)

Step-by-step explanation: Factor 9x+3

Answer 2

Equaling the equations, it is found that they reported the same number of symptoms during the first week.

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The amount of symptoms reported by non-procrastinators after x weeks is given by:

$y_N = 2x + 6.5$

For procrastinators, it is given by:

$y_P = 9x + 3$

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They reported the same number of symptoms at the week x for which:

$y_N = y_P$

Thus

$2x + 6.5 = 9x + 3$

$7x = 3.5$

$x = \frac{3.5}{7}$

$x = 0.5$

0.5 passed weeks, thus, during the first week.

A similar problem is given at https://brainly.com/question/14461788