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Answer :

Club charges

$y per children per hour

$x per adult per hour

Since there are 2 adults, the cost of adults is 2x

Since there are 3 children, the cost of children is 3y

The total cost is 2x + 3y

This has to be less than or equal to 30 dollars

Thus, we can represent the situation by the inequality:

[tex]2x+3y\leq30[/tex]

We graph this inequality by graphing 2x + 3y = 30 (line) on the coordinate grid and then shading the region left/under the line, since there is a "≤" sign.

The graph is shown below:

** Note: The line should have y-intercept at (0, 10) and x -intercept at (15,0)

View image DriannaT357216