Assuming a linear relationship, find the missing value in the table below.
y
x
1
2
3
4
5
7
15
23
31
Answer
Attempt 1 out of 2
To find the missing value in the table, we first need to determine the relationship between x and y. Since we are assuming a linear relationship, we can calculate the slope of the line using the points (1, 2) and (5, 7):
Slope = (Change in y) / (Change in x)
Slope = (7 - 2) / (5 - 1)
Slope = 5 / 4
Slope = 1.25
Now that we have the slope, we can use it to find the missing value when x = 7:
y = mx + b
7 = 1.25(7) + b
7 = 8.75 + b
b = -1.75
Now we can find the missing value when x = 7:
y = 1.25(7) - 1.75
y = 8.75 - 1.75
y = 7
Therefore, the missing value in the table when x = 7 is 7.