Answer and Step-by-step explanation:
The equation would be y = 5x + 75
Now, plug in 1, 2, 6, and 12 for x (which represents the hours) and solve for y (which represents the price).
1 hour - $80
2 hours - $85
6 hours - $105
12 hours - $135
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Define the two numbers
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Let the first number be x.
Let the second number be y.
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Form equations and solve x and y
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x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)
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Equation (1) x 2
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2x + 4y = 28 ---------------(1a)
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Equation (1a) - 2
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3y = 28 - 31
3y = -3
y = -1
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Substitute y = -1 into (1)
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x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16
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Answer: x =16, y = -1
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Find Slope:
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y = 1/4x - 7
Slope = 1/4
Perpendicular slope = -4 (Negative reciprocal)
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Substitute slope into the general equation y = mx + b:
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y = -4x + b
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Find y-intercept:
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at point (-2, -6)
-6 = -4(-2) + b
-6 = 8 + b
b = -6 - 8
b = -14
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Substitute b = -14 into the equation:
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y = -4x + b
y = -4x - 14
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Equation:
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y = -4x - 14
y + 6 = -4x - 8 \\add 6 to both sides
y + 6 = -4(x + 2) \\Take out common factor -4
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Answer: y + 6 = -4(x + 2) (Answer D)
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