Which table represents a nonlinear function?
2 answers:
Answer:
A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 1.5, 1.5, 3, 4.5.
Step-by-step explanation:
When the x-values are evenly spaced, a linear function will have evenly-space y-values.
In the first table, the y-differences are all +8.
In the second table, the y-differences are 0, 1.5, 1.5, so are not all the same.
In the third table, the y-differences are all -3.
The second table represents a non-linear function.
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In the graph, you can see that the points from the second table (purple) are <em>not on a straight line</em>.
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Answer:
Step-by-step explanation:
Assuming the situation can be modelled using a linear equation, then the line must pass through the point (2,54) and (4,100).
To find the equation of this line, we determine the slope using:
Substitute the coordinates of the points:
We use the following formula to find the equation of this line.
We substitute the first point a d slope to get:
Expand the parenthesis to get:
This simplifies to
This is the slope-intercept from.