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

Answer 1

Answer:

To accomplish his demands, he must accept 4 hours jobs or more than 4 hours jobs.

Step-by-step explanation:

We know that

Deepak charges $30 for each job plus $15 per hour, this means that the initial fixed fee is $30, and then he charges a variable fee of $15 per hour. This is expressed like

$\ 30+\ 15x$

Where $x$ represents hours.

Now, if we only accepts jobs that pay at least $90, this means that the minimum fee is $90 and greater than $90. So, the whole expression is

$\ 30+\ 15x\geq \ 90$

Then, we solve for $x$

$\ 30+\ 15x\geq \ 90\\\ 15x\geq \ 90-\ 30\\x\geq \frac{\ 60}{\ 15}\\ x\geq 4$

Therefore, to accomplish his demands, he must accept 4 hours jobs or more than 4 hours jobs.

Answer 2

Answer:

He only accepts jobs that last 4 or more hours.

Step-by-step explanation:

Deepak charges $30 for each job plus $15 per hour, this means that the initial fixed fee is $30, and then he charges a variable fee of $15 per hour. This is expressed likeWhere  represents hours.

Now, if we only accepts jobs that pay at least $90, this means that the minimum fee is $90 and greater than $90. So, the whole expression is

Then, we solve for

Therefore, to accomplish his demands, he must accept 4 hours jobs or more than 4 hours jobs.