Question

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. 30 + 15 x greater-than-or-equal-to 90 Which best describes the restrictions on the jobs Deepak will accept? He only accepts jobs that last 4 or more hours. He only accepts jobs that last 5 or more hours. He only accepts jobs that last 8 or more hours. He only accepts jobs that last 9 or more hours.

Answer 1

A) He only accepts jobs that last 4 or more hours.

Explanation:

Correct me if i'm wrong sorry if i am :)

Answer 2

(A)He only accepts jobs that last 4 or more hours.

Explanation:

Deepak charges $30 for each job plus an additional $15 for each hour he works.

Let the number of hours =x

Deepak's Total Income for x hours =30+15x

Since he only accepts jobs if he will earn at least $90 the job.

`\text{Total Income}\geq 90`

`30+15x\geq 90`

We then solve the inequality for x

`30+15x\geq 90\\$Subtract 30 from both sides\\30-30+15x\geq 90-30\\15x\geq 60\\$Divide both sides by 15\\15x/ 15\geq 60 / 15\\x\geq 4`

We therefore conclude that Deepak only accepts jobs that last 4 or more hours.

The correct option is A.