Determine whether y varies with x. If so, find the constant of variation and write the function rule.
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Answer: of the mural is sky blue.
Step-by-step explanation:
Let x be the full portion of mural.
Since, of mural is painted in shades of blue.
Therefore, the blue portion=
Also, Three eighths of the blue area is sky blue.
Therefore, the portion of the mural is sky blue=
The portion of the mural is sky blue=
Simplify, by dividing numerator and denominator by 4, we get
The portion of the mural is sky blue=
The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
If you want to learn more about inequalities:
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