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question 5 1 point a fast food company allows its quarter pound burgers a minimum and maximum weight, in ounces, modeled by the equation $2|x - 4.5| = 1$. what are the minimum and maximum weights? 4.5 ounces, 5.5 ounces 8.5 ounces, 10.5 ounces 8 ounces, 10 ounces 4 ounces, 5 ounces submit assignment
Step1: Isolate absolute value
Divide both sides by 2:
$$|x - 4.5| = \frac{1}{2}$$
Step2: Split absolute value equation
Set up two cases:
$$x - 4.5 = 0.5 \quad \text{or} \quad x - 4.5 = -0.5$$
Step3: Solve for maximum weight
Solve positive case:
$$x = 4.5 + 0.5 = 5$$
Step4: Solve for minimum weight
Solve negative case:
$$x = 4.5 - 0.5 = 4$$
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D. 4 ounces, 5 ounces