groups from several local elementary schools will attend the newest performance at the children's theater. the theater requires that there be no more than 8 children for each adult attending. The maximum capacity of the theater is 300. Let c be the number of children attending. and let a be the number of adults accompanying them. Complete the system of inequalities below to represent the constraints in this scenario.

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  y = 2x +4

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx + b

where m represents the slope (rise/run), and b represents the y-intercept.

Here, the line increases by 2 units (rise=2) for each increase of 1 unit in the x-direction (run=1). Then the slope is ...

  m = rise/run = 2/1 = 2

The graph crosses the y-axis at y=4, so the y-intercept value is ...

  b = 4

Putting these values into the above slope-intercept form, we have ...

  y = 2x + 4