Question

If the relationship is proportional, what is the missing value from the table?

x y
−3 -1
−12 ?
−30 -10
−8 -6
−5 -4

Answer 1

In a proportional relationship, the ratio of y to x is always the same. We find that the ratio is -30/-3 = 10. Applying this ratio to the missing x value, we can determine the missing y value as -12 + 30 = 18.

Step-by-step explanation:

To determine the missing value in a proportional relationship, we can use the relationship between the x and y values. In a proportional relationship, the ratio of y to x is always the same.

We can calculate this ratio by taking any two pairs of x and y values, and dividing the y value by the x value.

For example, if we take the first and last pair (-3 and -30), the ratio is -30/-3 = 10.

This means that for every decrease of 3 in x, there is a decrease of 10 in y. Applying this ratio to the missing x value, we can calculate the missing y value as follows: -12 - 3(-10) = -12 + 30 = 18.