Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.

Answer:

 A.) Deepak can only accept jobs that last 4 or more hours.

Step-by-step explanation:

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Deepak must work 4 or fewer hours to earn at least $90 per job.

The question is asking about the inequality that Deepak, a landscaper, writes to determine the number of hours he must work during each job in order to earn at least $90 the job. We can break down the equation as follows:

Let x be the number of hours Deepak works.

The equation can be written as: $30 + $15x ≤ $90.

To solve for x, we subtract $30 from both sides: $15x ≤ $60.

Then, we divide both sides by $15: x ≤ 4.

Therefore, Deepak must work 4 or fewer hours to earn at least $90 per job.

Step 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Step 2. Write the inequality and show all work to solve the inequality.
Step 3. Graph the solution to your inequality on a number line.
Step 4. Explain what your solution means in the context of the problem.

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