Final answer:
The missing value in the proportional relationship table when the first number is 30 is 120, obtained by multiplying 30 by the ratio of 4 that was determined from the given values.
Step-by-step explanation:
To determine the missing value in a proportional relationship, you can set up a proportion using the values provided in the table. The given table is:
- -3 | -12
- 30 | ?
- -10 | 0
- 84 | ?
We can see that when the first number is -10, the second number is 0. If the relationship is proportional, then multiplying or dividing one set of numbers by the same value should give us the other set of numbers.
Considering the pair -3 and -12, the ratio is -12 / -3 = 4. This means that for every 1 unit change in the first number, the second number changes by 4 units.
To find the missing value when the first number is 30, we can multiply 30 by the ratio 4 to get:
30 x 4 = 120
Therefore, the missing value from the table when the first number is 30, is 120.