Identify the function rule from the values in the table.
X | Y
6 | 3
8 | 4
10 | 5
12 | 6
(i put lines in between the numbers above to seperate them)
A. y = x - 3
B. y = x +3
C. y = x + 1
D. y = x/2
ive been having a lot of truble on this question so i thought i would ask for some help-
as x grows by 2, y grows by 1, so the slope is 1/2
so, start with y = 1/2 x
In fact, that is exactly what works here.
x =8 , y = 4
x = 10, y = 5
The choices are all straight lines of form y = m x + b
so
fit a line to two points
slope = m = (5-4) / (10-8) = 1/2
so form is
y = 1/2 x + b
for b
4 = (1/2)(8) + b so b = 0
y = x/2 the end
(could have seen that coming if you noticed every y is half x)
i meant trouble not truble sorry
Thank you guys so much! i understand this way better now
To identify the function rule from the values in the table, we need to look for a consistent pattern or relationship between the values of x and y.
Let's compare the values of x and y in the table:
When x = 6, y = 3.
When x = 8, y = 4.
When x = 10, y = 5.
When x = 12, y = 6.
To simplify the values, let's subtract 3 from each y-value:
When x = 6, y - 3 = 0.
When x = 8, y - 3 = 1.
When x = 10, y - 3 = 2.
When x = 12, y - 3 = 3.
Now, observe that the y-values are increasing by 1 unit as the x-values increase by 2 units.
This gives us a clue about the relationship between x and y.
If we consider the y-values without subtracting 3, we can see that y is equal to half of x.
Therefore, the correct function rule is:
D. y = x/2