Determine which type of rule is represented in the table. What are the missing values?
x | 30, 40, 50, 60
y | 51, __, __, 81
To determine the type of rule represented in the table, we need to look for a pattern or a relationship between the x-values and the y-values.
If we observe the x-values, we can see that they increase by 10 each time (30, 40, 50, 60).
If we observe the y-values, we can see that they do not increase by a constant amount. However, if we subtract 30 from each y-value (y - 30), we get the following sequence: 21, 31, 41, 51. We notice that these values increase by 10 each time, which matches the pattern in the x-values. Therefore, the rule appears to be adding 21 to the x-values.
Let's calculate the missing values using this rule:
For x = 70, y = 70 + 21 = 91
For x = 80, y = 80 + 21 = 101
Therefore, the missing values in the table are:
x | 30, 40, 50, 60
y | 51, 61, 71, 81