Question

You earn 11.25 dollars per hour x at your

summer job write and solve a inequality that
represents the number of hours you need to
work in order to by a smartphone that cost
600 dollars

Answer 1

The inequality that represents the number of hours (x) you need to work at $11.25 per hour to buy a $600 smartphone is 11.25x ≥ 600. Solving, you need to work at least 54 hours, since you will have earned $607.50, slightly over the cost of the smartphone.

Step-by-step explanation:

To solve the problem of how many hours you need to work to buy a smartphone that costs $600, you can set up an inequality because you are looking for a minimum number of hours that satisfies the cost condition. The inequality that represents this scenario is:

11.25x ≥ 600

Here, x is the number of hours you need to work. Solving this inequality, you can find the number of hours:

x ≥ 600 / 11.25

x ≥ 53.33

Since you can't work a fraction of an hour, you would need to work at least 54 hours to earn enough to buy the smartphone.