X|-1|0|1|2
Y|-2|1|4|7
What is the rule for the function shown in the tablet?
A)y=⅓x+1
B)y=3x+1
C)y=⅓x
D)y=½x+1
I think the answer is B...am I wrong?...please help I have no clue on how to solve these kind of problems
Straight-line equations is the "slope-intercept" form:
y = m * x + b
x = - 1 , y = - 2
y = m * x + b
- 2 = m * ( - 1 ) + b
- 2 = - m + b Add 2 to both sides
- 2 + 2 = - m + b + 2
0 = - m + b + 2 Add m to both sides
0 + m = - m + b + 2 + m
m = b + 2
x = 0 , y = 1
y = m * x + b
1 = m * 0 + b
1 = b
b = 1
m = b + 2
m = 1 + 2
m = 3
y = m * x + b
y = 3 x + 1
x = 1 , y = 4
y = 3 x + 1
y = 3 * 1 + 1
y = 3 + 1
y = 4
x = 2 , y = 7
y = 3 x + 1
y = 3 * 2 + 1
y = 6 + 1
y = 7
To determine the rule for the function shown in the table, you need to find the relationship between the x-values and the corresponding y-values. Let's analyze the given data.
Looking at the table, you can observe that for every increase of 1 in the x-value, the y-value increases by 3.
For example:
When x = -1, y = -2
When x = 0, y = 1
When x = 1, y = 4
When x = 2, y = 7
Based on this pattern, we can see that the y-values are increasing by 3 for each increase of 1 in the x-values.
Therefore, the correct answer is B) y = 3x + 1. This equation represents the relationship in the table, where multiplying x by 3 and adding 1 gives you the corresponding y-values.