High School

Each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan. At the end of the month, the family does not have any remaining cell phone minutes. Solve the inequality [tex]x \geq 175[/tex] to find how many cell phone minutes the family might share this month.

A. [tex]x \geq 175[/tex]

B. [tex]x < 175[/tex]

C. [tex]x \leq 175[/tex]

D. [tex]x = 175[/tex]

Answer :

Final answer:

The inequality representing the family's cell phone usage is x≤175, indicating that each family member used at most 175 minutes. The correct option is c. x≤175.

Explanation:

The inequality x≤175 means that the family may use up to 175 minutes for each member. Since each of the 4 family members uses 175 minutes or fewer and they have no remaining minutes at the end of the month, the total number of minutes used by the family must be less than or equal to the combined total minutes available.

If every family member used exactly 175 minutes, the total minutes would equal the maximum available, hence the inequality includes the equality (x=175) possibility as well. Therefore, the option that correctly represents the family's cell phone usage would be 'the family can use at most 175 minutes per member'.

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