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)He only accepts jobs that last 4 or more hours. Step-by-step explanation:Deepak charges $30 for each job plus an additional $15 for each hour he works.Let the number of hours =xDeepak's Total Income for x hours =30+15xSince he only accepts jobs if he will earn at least $90 the job.[tex]\text{Total Income}\geq 90[/tex][tex]30+15x\geq 90[/tex]We then solve the inequality for x[tex]30+15x\geq 90\\$Subtract 30 from both sides\\30-30+15x\geq 90-30\\15x\geq 60\\$Divide both sides by 15\\15x\div 15\geq 60 \div 15\\x\geq 4[/tex]We therefore conclude that Deepak only accepts jobs that last 4 or more hours.The correct option is A.