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QveST [7]
2 years ago
5

Select the correct answer. Choose the system of inequalities that best matches the graph below.

Mathematics
1 answer:
ANTONII [103]2 years ago
3 0

Considering the linear functions on the graph, the inequality that matches the situation is:

B.

  • y \geq \frac{1}{2}x + 2
  • y \leq 2x + 1

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The lower bound of the interval is a linear function with y-intercept of b = 2, that also passes through (2,3), hence the slope is:

m = (3 - 2)/(2 - 0) = 1/2.

Hence the inequality is:

y \geq \frac{1}{2}x + 2

The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:

m = (5 - 1)/(2 - 0) = 2.

Hence the inequality is:

y \leq 2x + 1

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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