To conserve water, many communities have developed water restrictions. The water utility charges a fee of $34, plus an additional $1.36 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $60 and $85 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)

60 ≤ 1.36x − 34 ≤ 85; To stay within the range, the usage should be between 69.1 and 87.5 HCF.
60 ≤ 1.36x − 34 ≤ 85; To stay within the range, the usage should be between 44.1 and 87.5 HCF.
60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 37.5 and 44.1 HCF.
60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 19.1 and 37.5 HCF.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-08-26T17:44:21+02:00

The compound inequality to represent the scenario is 60 <= 34 + 1.36x <= 85 and the range is 19 to 37.5

The given parameters are:

Charges = $34

Rate = $1.36

Recommendation = $60 to $85

The total charge on a HCF is represented as:

Total = Charge + Rate * x

So, we have

Total = 34 + 1.36x

The compound inequality to represent the scenario is then represented as:

60 <= 34 + 1.36x <= 85

Add 34 from the inequality

26 <= 1.36x <= 51

Divide by 1.36

19 <= x <= 37.5

Hence, the compound inequality to represent the scenario is 60 <= 34 + 1.36x <= 85 and the range is 19 to 37.5

Read more about compound inequality at

https://brainly.com/question/1485854

#SPJ1