Final Answer:
The completed tables are:
Table 1 (y inversely proportional to x, given y=6 when x=2):
x: 1, 2, 3, 4, 5, 6
y: 12, 6, 4, 3, 2.4, 2
Table 2 (y inversely proportional to x, given y=18 when x=3):
x: 1, 2, 3, 4, 5, 6
y: 54, 27, 18, 13.5, 10.8, 9
Table 3 (y inversely proportional to x, given y=35 when x=10):
x: 1, 2, 4, 8, 10, 12
y: 350, 175, 87.5, 43.75, 35, 29.166...
Table 4 (y inversely proportional to x, given y=8 when x=1):
x: -3, -2, -1, 1, 2, 3
y: -8/3, -4, -8, 8, 4, 8/3
Table 5 (y inversely proportional to x, given y=15 when x=2):
x: -6, -4, -2, 2, 4, 6
y: -5, -7.5, -15, 15, 7.5, 5
Table 6 (y inversely proportional to x, given y=10 when x=2):
x: -6, -4, -2, 2, 4, 6
y: -10/3, -5, -10, 10, 5, 10/3
Table 7 (y inversely proportional to x², given y=9 when x=2):
x: -3, -2, -1, 1, 2, 3
y: 4, 9, 36, 36, 9, 4
Table 8 (y inversely proportional to x², given y=16/9 when x=-2):
x: -6, -4, -2, 2, 4, 6
y: 4/9, 1, 16/9, 16/9, 1, 4/9
Table 9 (y inversely proportional to x³, given y=25 when x=2):
x: -6, -4, -2, 2, 4, 6
y: -25/216, -25/64, -25/8, 25, 25/64, 25/216
Parent Tip: Review the logic above to help your child master the concept of solving proportions worksheet 7th grade.