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.
Answers
Answer 1
Answer:
Answer:
Therefore, Option C is correct that is .
Step-by-step explanation:
We have given medication cost $32
Since, we have given as much as 8 so the inequality will maximum goes upto 8.
Now, we will solve the inequality for x we will get
We will first open the modulus function by its definition we will get
which is |x| is +x and -x
And
Therefore, Option C is correct
Answer 2
Answer:
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.
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.
Related Questions
What is the surface area of the figure?Solid Figures, Part 1 A.300 cm2 B.220 cm2 C.390 cm2 D.195 cm2
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. the ship uses 30 barrels of oil in traveling 85 miles at 42 mi/h. how many barrels of oil are used when the ship travels 26 miles at 54 mi/h? round your answer to the nearest tenth of a barrel, if necessary.a. 2.3 barrel
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Present age of Ram and Ravi are in the ratio4:3.The ratio of their ages will be 5:4 after 5 years. Find Ravi's present age
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. the ship uses 30 barrels of oil in traveling 85 miles at 42 mi/h. how many barrels of oil are used when the ship travels 26 miles at 54 mi/h? round your answer to the nearest tenth of a barrel, if necessary.a. 2.3 barrel
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Present age of Ram and Ravi are in the ratio4:3.The ratio of their ages will be 5:4 after 5 years. Find Ravi's present age
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?