MeherN369604 MeherN369604
  • 03-11-2022
  • Mathematics
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If x decreases by 3 units what is the corresponding change in y ?

If x decreases by 3 units what is the corresponding change in y class=

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LorelleJ710483 LorelleJ710483
  • 03-11-2022

We have the equation:

[tex]y=6x-2[/tex]

The rate of change in linear functions like this is equal to the slope, which in this case is m = 6.

So, for each unit increase in x, y will increase in 6 units.

[tex]\Delta y=m\cdot\Delta x=6\cdot1=6[/tex]

This rate of change is constant for linear functions, so when x decreases by 3 units, we expect y to decrease by 3*6 = 18 units, 3 times the slope. So y will be -18 of the previous value.

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Answer: a) 6, b) -18.

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