When graphed, which line will have the greatest rate of change?
A. y = 5x
B. y = 3x
C. y = 0.3x
D. y = 0.5x
my answer is C. am i right?
would it be A then?
Of course.
For any y = mx + b
m, the number in front of the x term, is the slope, or the rate of change.
The greater the value of m, the greater the rate of change.
Do you want to change your answer?
Thank you :3
Well, my mathematical friend, let's put on our thinking noses. The rate of change of a line is determined by its slope, which is represented by the coefficient of x. In this case, we have four lines: y = 5x, y = 3x, y = 0.3x, and y = 0.5x.
If we peek at each coefficient, we can see that option A has a slope of 5, option B has a slope of 3, option C has a slope of 0.3, and option D has a slope of 0.5.
So, to answer your question, the line with the greatest rate of change is indeed option A, y = 5x. It has the largest slope, which means it rises faster as we move along the x-axis. Keep graphing and giggling!
To determine which line will have the greatest rate of change, you need to compare the slopes of each equation. The slope represents the rate at which the line rises or falls.
In general, the slope of a linear equation in the form of y = mx + b represents the coefficient of x (m). So, in this case, the slope of each line is the coefficient of x.
Let's calculate the slopes for each equation:
A. y = 5x
The slope of this equation is 5.
B. y = 3x
The slope of this equation is 3.
C. y = 0.3x
The slope of this equation is 0.3.
D. y = 0.5x
The slope of this equation is 0.5.
As you can see, the highest slope among the given options is 5 (from equation A, y = 5x). Therefore, the line with the greatest rate of change is option A.
Therefore, your answer is incorrect. The line with the greatest rate of change is A, not C.