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alexandr1967 [171]
3 years ago
9

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

<u>Function 1:</u>

<u></u>-2x+5y = 10<u></u>

Adding 2x on both sides

<u></u>-2x+5y+2x = 2x+10\\5y = 2x+10<u></u>

Dividing both sides by 5

<u></u>\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2<u></u>

Let m1 be rate of change of function 1:

<u></u>m_1 = \frac{2}{5}<u></u>

<u></u>

<u>Function 2:</u>

<u></u>-6x+3y = 18<u></u>

Adding 6x on both sides

<u></u>-6x+3y+6x = 6x+18\\3y = 6x+18<u></u>

Dividing both sides by 3

<u></u>\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6<u></u>

Let m2 be the slope of function 2

<u></u>m_2 = 2<u></u>

As we can see that

<u></u>m_2>m_1<u></u>

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

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