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Complete the explanation of a real world situation that could be modeled
by |x − 13| = 4.

There are supposed to be ____ biscuits in a frozen package, but there could be as many as _____ extra or _____ fewer in each bag, depending on the weight of the biscuits. Solving the equality will give the highest and lowest amounts of biscuits in the bag.

Respuesta :

AlgebraicAardvark

Answer:

13, 4, and 4

Step-by-step explanation:

The absolute value of a difference measures the discrepancy between the two numbers inside.  The 13 represents the ideal amount of biscuits and x represents the actual number of biscuits in the package.  So the difference between the actual and the ideal is 4 (whether it's 4 more of 4 less than 13).

The situation described doesn't actually match the wording, because this says there'll either be 9 or 17 biscuits in the package, due to the "=".  If you wanted to have "as many as," then this should be "≤", allowing for 4 or fewer in either direction.

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