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

He only accepts jobs that last 4 or more hours.

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.

Answer 2

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

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 (\$60)/(\$15)\\ x\geq 4`

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