The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
The independent variable is the number of people. The initial value (initial fee) for the picnic is $40. As the number of people increases, the total cost of the picnic increases.
