To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household ranges from $54 to $82 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.)

Question

54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be from 17.7 to 37.6 HCF.
54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be from 17.7 to 58.2 HCF.
54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be from 38.2 to 78.7 HCF.
54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be from 58.9 to 78.7 HCF.

Answer 1

54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be from 17.7 to 37.6 HCF.