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.

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.

Question

Mathematics

Nathanael Doyle

4 December, 03:03

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.

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.

+5

Answers (2)

Know the Answer?

Dane Aguilar · Answer 1

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.

Marc Gould · Answer 2

So it should be 32+8 and 32-8

x=cost

as much as 8 dollars

has to be less than or equal to 8

C or D

C is anser because if we put a number lets say 50, it would be false

C