Nadia works exactly 40 hours each week and earns a minimum of $1,200 every 4 weeks. Her hourly rate of pay is determined by the job she is assigned and may vary. If $x$ is Nadia's average hourly pay for a 4-week period, which of the following inequalities best describes $x$ ?

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Nadia earns at least $1,200 per 4 weeks. Since she works 40 hours each week, we can say she earns at least $1,200 per 160 hours worked.

$$160x \geq 1{,}200$$ $$x \geq \frac{1{,}200}{160}$$ $$\boxed{x\geq 7.5}$$