## A pharmacy claims that the average medication costs $32 but it could differ as much as$8. Write and solve an absolute value inequality to d

Question

A pharmacy claims that the average medication costs $32 but it could differ as much as$8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.

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16 mins 2021-10-13T06:29:04+00:00 2 Answers 0

1. A) |x − 32| ≥ 8; The medication costs range from $24 to$40
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than$40.
C) |x − 32| ≤ 8; The medication costs range from $24 to$40
D) |x − 32| ≤8; The medications cost less than $24 or greater than$40.

So,

We can tell that the most expensive medication costs $40 and the cheapest costs$24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C. |30 – 32| ≤ 8 |-2| ≤ 8 2 ≤ 8 Option C is correct. 2. Answer: Range: Step-by-step explanation: Let m represent cost of medication. We have been given that a pharmacy claims that the average medication costs$32 but it could differ as much as \$8.  Using absolute value inequality definition, if , then , we will get:   Therefore, the range of medication costs at the pharmacy is .