Question

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, graph the best model for this situation.

I need to draw a graph for this but im not good at it. can anyone show me how the graph is suppose to look like please?

Answer 1

@magbak

Answer 2

Well, they have 3 children at x$ an hour which is the same as 3x,
and 2 adults at y$ an hour which is the same as 2y
and these added together have to be less than or equal to 30
\(\Large\ 3x+2y\leq 30\)
So we can convert this to slope intercept form to easily graph it, subtract 3x
\(\Large\ 2y\leq -3x+30\) now divide by 2
\(\Large y\leq \frac{-3}{2} x+30\)
To graph this you would put a point at (0,30)
then go down 3 and to the right 2 and put a point at (2,27)
Then connect the line and shade to the left of the line like that