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frankcaroccio0203
25.02.2020 •
Mathematics
Pls help 100 points will mark correct answer
Which of the following describes a linear function?
A. It is V shaped and passes through the origin.
B. It is a straight line in one portion and a curve in another portion.
C. Its y-values decrease at a constant rate as its x-value increases.
D. Its y-values increase at a nonconstant rate as its x-value increases.
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Ответ:
C. Its y-values decrease at a constant rate as its x-value increases.
Step-by-step explanation:
A linear function is described by the following relationship:
where
x, y are the two variables
m is the slope of the function
q is the y-intercept of the function
The y-intercept represents the value of y at which x = 0, so it just corresponds to a "rigid shift" of the function along the y-axis.
Therefore for the purpose of this problem we can consider a linear function passing through the origin (0,0):
m (the slope) represents the rate of change of the function. For a linear function, m is constant: this means that
- if m is positive, as x increases, then y increases at a constant rate
- if m is negative, as x increases, then y decreases at a constant rate
Therefore, the correct option describing a linear function is
C. Its y-values decrease at a constant rate as its x-value increases.
Ответ:
The answer you got was correct.
Step-by-step explanation:
Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.