Question

Pls help! Dont get this!

Answer 1

n
`\leq` 12

n
`\leq` 12

20 + 12n
`\geq` 250 ;

Explanation:

#8: In order to eat for free you must be 12 years old or under- including 12 years. So, we can say that you must be less than 12 years old, (n < 12, "n" being your age) OR equal to 12 years old, (n = 12) in order to eat for free. When you combine being able to be less or more than a number but can also be that number you use the "less/greater than or equal to" sign
`\leq` or
`\geq` .

#9: The same thing as the #8, the package can be any weight under 12 pounds, but since the limit is 12, the heaviest it can be is also 12.

#10: So we know that Blake needs at LEAST $250. He has $20 already, which is an important part of the inequality. So, as of now, he currently has $20 before mowing lawns.

20 = 250

He needs more money than that, but he's not sure how much which is where the $12 per lawns mowed comes in.

So, "n" is going to be our variable in this inequality. n = the number of lawns he mows. So, if we know he gets $12 for every individual lawn he mows, we can say that he needs an additional $12n in order to afford the $250 headphones.

So now we put what we have together:

12n + 20 = 250

We add the 20 because that's the amount that Blake originally had and we can't forget about it, the 12n is just the additional money he needs in order to reach his $250.

But we're not completely done yet, because if you solve 12n + 20 = 250, it won't give you a nice number, you can't mow exactly 19.16666666666 lawns. So, we're going to say:

12n + 20
`\geq` 250

This is saying that the money that Blake ends up making in the end has to be MORE than or EXACTLY $250. We can't use a 'less than equality sign' or 'equal to' sign because you can't buy something for less than what it's worth.