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ale4655 [162]
2 years ago
13

Which equation represents the linear relationship shown on the graph below?

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

To find the linear relationship we need

  • two points on the line: (0,3), (2,4)
  • and the slope = \frac{y2-y1}{x2-x1} =\frac{4-3}{2-0} =\frac{1}{2}

Now lets put any one point on the line such as (0,3) and the slope into the point-slope form:

      y - 3 = (\frac{1}{2} )(x-0)\\y = \frac{1}{2}x + 3

Hope that helps!

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See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

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y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

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