Which function has a constant additive rate of change of −14?ResponsesImage with alt text: A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).xy−127−1111−1014−917x y negative 12 7 negative 11 11 negative 10 14 negative 9 17xy20−121−1.522−223−2.5x y 20 negative 1 21 negative 1 point 5 22 negative 2 23 negative 2 point 5
Question
Which function has a constant additive rate of change of −14?ResponsesImage with alt text: A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).xy−127−1111−1014−917x y negative 12 7 negative 11 11 negative 10 14 negative 9 17xy20−121−1.522−223−2.5x y 20 negative 1 21 negative 1 point 5 22 negative 2 23 negative 2 point 5
Solution
The function that has a constant additive rate of change of -14 is the one where the y-value decreases by 14 for every increase in the x-value.
From the given data, it's not clear which function has this rate of change. However, you can determine the rate of change for each function by subtracting the y-values of two points and dividing by the difference in their x-values.
For example, for the first function, the rate of change between the points (-12,7) and (-11,11) is (11-7)/(-11-(-12)) = -4.
You would need to do this for all the points in each function to see which one has a constant rate of change of -14.
Similar Questions
The x y-coordinate plane is given. A function composed of several line segments is on the graph. The function begins at y = −1 on the negative y-axis, goes up and right in a linear fashion, crosses the x-axis at x = 2, sharply changes direction at (4, 1), goes down and right in a linear fashion, sharply changes direction at (6, 0), goes up and right in a linear fashion, sharply changes direction at (8, 2), goes horizontally right, sharply changes direction at (12, 2), goes down and right in a linear fashion, sharply changes direction at (14, 1), goes up and right in a linear fashion, and ends at (16, 3).
y = 2 f(¹/₃x - 1)+2 is*(-3,14)(-9,-14)(3,14)(9,-14)
Find the equation of the linear function represented by the table below in slope-intercept form.x yminus, 2−2 minus, 14−1422 6666 26261010 4646
A line passes through the points (–2,–1) and (19,14). Write its equation in slope-intercept form.
y=−x 2 +12x−27
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