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Answer: Line joining ordered pairs (0, 10) and (15, 0) and Shade the portion of the graph below this line which lies within the first quadrant.
Step-by-step explanation:
Here, The club charges $y an hour for each child and $x an hour for each adult.
And, according to the question,
In the family 3 children and 2 adults visited a health club such that the family does not want to spend more than $30 an hour at the health club.
That is,
Which is the required inequality.
Since at origin, (true)
That is, the inequality must contains the origin.
Therefore, shaded region will occur below the line.
Also, x-intercept of the given line is (15,0)
And, y-intercept of the given line is (0,10)
Thus the line will join the order pairs (15,0) and (0,10)
Also, and
( because charges can not be negative)
Therefore the shaded region will only contain the first quadrant.
