Jordan decides to start a garden care service. He charges 20$ for the first hour and 10$ for each additional hour. He works 5 days a week and takes care of one different garden each day. How many hours will he need to work to earn at least 250$.
Write and solve an inequality for the total number of hours jordan needs to work.
20+10x >= 250
but that's only if he works all in one stretch.
Since he works day by day (presumably for 8 hours per day, but you don't say), each day he gets
20 + 7*10 = $90
So, to make $250, he needs to work 3 days, making $270. That would be 24 hours.
If he worked 4-hour days, that'd be %50/day, and he'd only have to work 5 days, or 20 hours.
Ok so whats the inequality to get 20 hours as my answer?
Thanks
why do you want 20 as the answer? In any case, think about it. He makes $50 for a 4-hour day. So, if he works d days, what do you need?
To find out how many hours Jordan needs to work to earn at least $250, we can start by setting up an inequality.
Let's denote the total number of hours Jordan needs to work as "h".
Since Jordan charges $20 for the first hour and $10 for each additional hour, the total cost (C) can be calculated as follows:
- For the first hour: 20$
- For additional hours: (h - 1) hours * 10$
Therefore, the total cost can be expressed as:
C = 20 + (h - 1) * 10
To find the inequality, we need to set up the equation and solve for h:
C ≥ 250
Substituting the expression for C into the inequality, we get:
20 + (h - 1) * 10 ≥ 250
Simplifying the inequality further, we have:
20 + 10h - 10 ≥ 250
10h + 10 ≥ 250
10h ≥ 240
To isolate "h", we can subtract 10 from both sides:
10h ≥ 240
h ≥ 24
The inequality h ≥ 24 tells us that Jordan needs to work at least 24 hours to earn at least $250.
Therefore, Jordan will need to work at least 24 hours to earn $250 or more.