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Figure0123456vehicles4122028364452linear ?pattern ?constant?

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Problem

Solution

For this case we need to verify if the pattern is linear so we cna check this doing the following operations:

(12-4)/(1-0) =8

(20-12)/(2-1) =8

(28-20)/(3-2) =8

(36-28)/(4-3) =8

(44-36)/(5-4) =8

(52-44)/(6-5) =8

And as we can see we have the same constant so we can conclude that we have a linear pattern with a constant value of k=8

That means for every increase in the figure the vehicles increase by 8

We can also find the formula for the linear pattern and we have:

4 =8 (0)+b

And solving for b we got

b= 4

And the equation y=mx+b is:

y= 8x +4

Figure0123456vehicles4122028364452linear ?pattern ?constant?-example-1
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