Solve this word problem.

During the summer you want to earn at least $150 per week. You earn $10 per hour working for a farmer, and you can earn $5 per hour babysitting for your neighbor. You can work at most 25 hours a week.

A: Write and solve a system of linear inequalities that models the situation. Let x be the number of hours per week working on the farm and let y be the number of hours per week babysitting.
After that it needs to be graphed.

Question

Solve this word problem.



During the summer you want to earn at least $150 per week. You earn $10 per hour working for a farmer, and you can earn $5 per hour babysitting for your neighbor. You can work at most 25 hours a week. 

A: Write and solve a system of linear inequalities that models the situation. Let x be the number of hours per week working on the farm and let y be the number of hours per week babysitting.  
After that it needs to be graphed.

anonymous · Answer

@zepdrix

alivejeremy · Answer

Yahoo......... https://answers.yahoo.com/question/index?qid=20130314093742AAy9Hd0

alivejeremy · Answer

;)

alivejeremy · Answer

http://www.jiskha.com/display.cgi?id=1236835763

alivejeremy · Answer

Answer ^^

zepdrix · Answer

$\large\rm x$ is hours farmed,
$\large\rm y$ is hours babysitting.

Total hours must be `less than or equal to 25`.

anonymous · Answer

Is this it?
$$x + y \le 25$$

zepdrix · Answer

good good good c: sorry a little distracted at the moment

anonymous · Answer

Is that I i have to do ? use that to find out the max number of hours I could work?  it sounded like I need more than that.

anonymous · Answer

I have to earn $150 a week but I can't work more than 25 hours

zepdrix · Answer

We need to create another equation.

zepdrix · Answer

$10 per farm hour,
$5 per babysitting hour.

zepdrix · Answer

So the total amount of money made farming is $\large\rm 10x$.
That's the rate $10 per hour, times the number of hours farming x.

zepdrix · Answer

So likewise, the total amount of money made babysitting is $\large\rm 5y$

zepdrix · Answer

We need these totals to add up to `at least` 150.

anonymous · Answer

$$x + y \le 25$$
$$10x + 5y \ge 150$$

anonymous · Answer

are those right?

zepdrix · Answer

Ok great \c:/
So there is our system of equations.

zepdrix · Answer

Then we need to graph this information, ya?

anonymous · Answer

yep  now we just have to find the largest number possible that fit both right?

zepdrix · Answer

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anonymous · Answer

or we go straight to the graph???

zepdrix · Answer

Ya let's just graph :3

anonymous · Answer

ok. you know what you're doing. I don't. Just going to trust you here.

zepdrix · Answer

$\large\rm x+y\le25$
Let's get a couple points graphed.
First think about it like this:
$\large\rm x+y=25$

If we plug in x=0,
$\large\rm 0+y=25$
Then y=25 solves the equation.

This gives us a point, (0,25).

zepdrix · Answer

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