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3 years ago

Compare the two functions to see which has a greater rate of change. Function 1

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

Function 1:

$-2x+5y = 10$

Adding 2x on both sides

$-2x+5y+2x = 2x+10\\5y = 2x+10$

Dividing both sides by 5

$\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2$

Let m1 be rate of change of function 1:

$m_1 = \frac{2}{5}$

Function 2:

$-6x+3y = 18$

Adding 6x on both sides

$-6x+3y+6x = 6x+18\\3y = 6x+18$

Dividing both sides by 3

$\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6$

Let m2 be the slope of function 2

$m_2 = 2$

As we can see that

$m_2>m_1$

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

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