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Six friends ate in a restaurant together and split the total cost, c, equally. Each person paid less than $8.Which statements represent the scenario? Check all that apply.The total cost of the food, c, can be represented by the inequality <8hpThe total cost of the food could be $48.The total cost of the food could be $36.When graphed, the number line would be shaded to the left of the maximum value.The total cost of the food must be greater than $60.

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Answer:

Six friends ate in a restaurant together and split the total cost c equally. Each person paid less than $8, the statement that best describes it is:

[tex]\frac{c}{6}<8\rightarrow(1)[/tex]

Therefore (1) points to the first option, which is the answer, and rearranging (1) gives the following:

[tex]\begin{gathered} \frac{c}{6}\lt8\operatorname{\rightarrow}c<48 \\ \\ c<48\rightarrow(2) \end{gathered}[/tex]

The inequality (2) implies that the total cost of the food is less than $48.

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