find a rule for each table, write an equation for each rule.
x|y
0|16
20|36
36|52
42|58
it looks like your y value is 16 more than the x value, so
y = x+16
(I noticed that the slope between any two pairs is 1, so I knew it was linear.
so I had m = 1 and I noticed that (0,16) would be the y-intercept, so b = 16)
m = (36-16)/20 = 1 first two points
m = (58-52)/(42-36) = 6/6 = 1 last two points
LOL - all slopes are 1
so
y = 1 x + b straight line
(0,16) means b = 16
so
y = x + 16
To find a rule for each table and write an equation for each rule, let's first observe the relationship between the given values of x and y.
For the first row, we see that when x is 0, y is 16.
For the second row, when x is 20, y is 36.
For the third row, x is 36 and y is 52.
Finally, for the fourth row, x is 42 and y is 58.
By comparing the values of x and y, we can see that as x increases, y increases by a constant value.
To determine this constant, let's find the difference between the y-values:
- From row 1 to row 2: 36 - 16 = 20
- From row 2 to row 3: 52 - 36 = 16
- From row 3 to row 4: 58 - 52 = 6
We observe that the differences are not the same, which suggests that the relationship between x and y is not linear.
Since the differences are not consistent, we can conclude that the table does not follow a specific mathematical formula or equation.
Hence, we cannot find a rule or equation for this given table.