Assuming a linear relationship, find the missing value in the table below.
y
x
1
2
3
4
5
10
15
20
25
The difference between consecutive x-values is 1, and the difference between consecutive y-values is 5. This indicates that there is a constant rate of change of 5. Therefore, we can find the missing value using this rate of change.
To find the missing value, we can use the equation:
y = mx + b
Where m is the rate of change and b is the y-intercept. We can find the equation of the line using any two points. Let's use (3, 10) and (4, 15):
m = (15 - 10) / (4 - 3) = 5
Using the point (3, 10):
10 = 5(3) + b
10 = 15 + b
b = 10 - 15
b = -5
Now we have the equation of the line:
y = 5x - 5
To find the missing value, we substitute the x-value into the equation:
y = 5(5) - 5
y = 25 - 5
y = 20
Therefore, the missing value is 20.