Use the following table to answer questions.
x y
1 7
3 ?
? 11
7 13
? ?
What are the values of x and y in the last row of the table?
What is the rule for this table?
2 is added to the previous number.
not nearly enough information, since only two ordered pairs are given.
Is the relation linear? , then we could do it.
slope = (13-7)/(7-1) = 1
so y = x + 6
so the table would be:
1 7
3 9
5 11
7 13
? ? , your choice
however , as I implied there could be other rules
e.g. y = (1/6)(x-1)^2 + 7 , also contains (1,7) and (7,13)
To find the values of x and y in the last row of the table, let's look for a pattern in the given data:
From the first row, we can see that when x = 1, y = 7.
From the second row, we can see that when x = 3, y = ? (unknown).
From the third row, we can see that when x = ?, y = 11 (unknown).
From the fourth row, we can see that when x = 7, y = 13.
Now, let's observe the pattern:
As we can see, the difference between y values is constant (+6) for each consecutive increase of x by 2.
So, we can determine that the rule for this table is that y is increasing by 6 for every increase of x by 2.
Using this rule, we can find the values for the last row:
From the fourth row, we know that when x = 7, y = 13.
To find the value of x in the last row, we need to increase x by 2. So, x = 7 + 2 = 9.
To find the value of y in the last row, we need to increase y by 6. So, y = 13 + 6 = 19.
Therefore, the values of x and y in the last row of the table are x = 9 and y = 19.