Question

nick has $50. he just got a job as a construction worker making $10 an hour. he wants to earn enough money to buy himself a new cell phone $300. how many hours must he work to buy the phone? write an inequality.

nick must work at least hours

Explanation:

Step1: Set up the inequality

Let \(x\) be the number of hours Nick works. He has an initial \( \$50\) and earns \( \$10\) per hour. He needs at least \( \$300\). So the inequality is \(50 + 10x\geq300\).

Step2: Solve the inequality for \(x\)

Subtract \(50\) from both sides: \(10x\geq300 - 50\), which simplifies to \(10x\geq250\).
Divide both sides by \(10\): \(x\geq\frac{250}{10}\), so \(x\geq25\).

Answer:

The inequality is \(50+10x\geq300\). Nick must work at least \(25\) hours.