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:
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)