High School

Four times December’s profit minus 45 is greater than or equal to January’s profit of $172. Which inequality represents this situation?

A) [tex]4d - 45 \geq 172[/tex]
B) [tex]4d - 45 < 172[/tex]
C) [tex]172 < 4d - 45[/tex]
D) [tex]172 < 4 + d - 45[/tex]

Answer :

Final answer:

The inequality that represents the situation described in the question is C) 172 < 4d - 45.

Explanation:

The inequality that represents the situation described in the question is C) 172 < 4d - 45.

To find the inequality, let's first translate the given information into an equation. We are told that four times December's profit minus 45 is greater than or equal to January's profit of $172.

This can be represented as 4d - 45 ≥ 172, where d represents December's profit. Rearranging the equation, we have 4d ≥ 172 + 45. Simplifying further, 4d ≥ 217. Dividing both sides by 4, we get d ≥ 54.25. Therefore, the correct inequality is 172 < 4d - 45.

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