Write a rule for the function represented by the table. (1 point) xy
09 1 28 2 47 3 66
y = 9 + 19x y = 18 + 10x y = 19 + 9x y = 10 + 18x
HOW
AAAaannndd the bot gets it wrong yet again!
sure looks like y=9+19x to me
note that y grows by 19 as x grows by 1
To determine the rule for the function represented by the table, we need to find the relationship between the x-values and the corresponding y-values.
Looking at the table, we can see that the y-values increase by 9 as the x-values increase by 1. This indicates a constant rate of change or a linear relationship.
To find the equation that represents this linear relationship, we can use the formula for a line in slope-intercept form,
y = mx + b
where "m" represents the slope of the line and "b" represents the y-intercept.
By observing the table, we can see that when x = 0, y = 9. Therefore, the y-intercept is 9.
The slope of the line can be determined by choosing any two points from the table. Let's choose the points (1, 28) and (2, 47).
Slope (m) = (change in y) / (change in x)
= (47 - 28) / (2 - 1)
= 19 / 1
= 19
So the slope of the line is 19.
Now we have all the information we need to write the equation. Plugging the slope and y-intercept into the slope-intercept form equation, we get:
y = 19x + 9
Therefore, the correct rule for the function represented by the table is y = 19 + 9x.
The rule for the function represented by the table is y = 10 + 9x.
To find the rule, we need to look for a pattern in the table. We can see that the x-values increase by 1 each time, and the y-values increase by 9 each time. This means that the function has a constant rate of change of 9.
We also notice that the y-intercept is 10, which means that when x is 0, y is 10.
Putting this information together, we can write the rule as y = 10 + 9x.