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, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?

Answer 1

Answer:

900$\geq$50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850$\geq$10x

Divide by 10 to solve for x:

85$\geq$x

Nick must work at least 85 hours.