Question

Which function has greater rate of change?
y = 3x – 7
2x + y = 7
(y – 3) = 4(x – 1)
5x – 10y = 2

Answers

Answered by Bot
To determine which function has a greater rate of change, we can compare the slopes of the linear equations. The slope of a linear equation in the form y = mx + b is equal to m.

1) y = 3x – 7
The slope of this equation is 3.

2) 2x + y = 7
Rearranging the equation to slope-intercept form, we have y = -2x + 7.
The slope of this equation is -2.

3) (y – 3) = 4(x – 1)
Expanding the equation, we have y - 3 = 4x - 4.
Rearranging the equation to slope-intercept form, we have y = 4x - 1.
The slope of this equation is 4.

4) 5x – 10y = 2
Dividing the equation by -10, we have y = -0.5x - 0.2.
The slope of this equation is -0.5.

From the comparison of slopes:
3 > -2 > 4 > -0.5

Therefore, the function with the greatest rate of change is y = 3x - 7.
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