Question

NEED HELP ASAP!!! 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, which of the following graphs best models the situation? a. Line joining ordered pairs 0, 10 and 15, 0. Shade the portion of the graph below this line which lies within the first quadrant b. Line joining ordered pairs 0, 10 and 15, 0. Shade the portion of the graph above this line which lies within the first quadrant c. Line joining ordered pairs 0, 15 and 10, 0. Shade the portion of the graph below this line which lies within the first quadrant d. Line joining ordered pairs 0, 15 and 10, 0. Shade the portion of the graph above this line which lies within the first quadrant

Answer 1

Explanation:

3y+2x=30

3y = 30-2x

y=30/3 - 2/3x

y=10-2/3x

now plug in the options

1) 0,10 and 15,0

y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10

For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works

Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget