Write a rule for the function represented by the table
x y
0 9
1 28
2 47
3 66
A.y=9+19x
B.y=18+10x
C.y=19+9x
D.y=10+18x
note that y grows by 19 when x grows by 1.
So, start with y = 19x
Now adjust that so it fits the table.
so its a?
D. y=10+18x
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Because he was outstanding in his field!
To determine which rule represents the function represented by the table, we can observe the pattern in the y-values corresponding to the x-values.
When x = 0, y = 9
When x = 1, y = 28
When x = 2, y = 47
When x = 3, y = 66
Based on these values, we can infer that the y-values are increasing by 19 each time the x-values increase by 1. Therefore, the rule that represents this function is C. y = 19 + 9x.
To verify this, you can substitute the x-values from the table into the rule. Let's use x = 1 as an example:
y = 19 + (9 * 1) = 19 + 9 = 28 (which matches the table).
So, the correct rule for the function represented by the table is C. y = 19 + 9x.