Question

Can someone help me with some inequality problems, please?
I'll give a medal! :D

Answer 1

Mark and Nora both work at the same pet store. The inequality mc017-1.jpg relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem?

(–7, 20)
(0, 0)
(8, 2)
(13, –28)

(–7, 20) is one of the solutions, but (0, 0) is on the line. Which is correct?

Answer 2

whers the fig

Answer 3

@Catseyeglint911

Answer 4

This is the graph of the equation.

Answer 5

-7,20 isn't on the line @Catseyeglint911

Answer 6

I know, but it is in the solution set (the shaded area). That's what's confusing to me.

Answer 7

do one thing write the equation of line thats shown

Answer 8

I'm so sorry. I just realized that the equation wasn't copied with the word problem.
\[y \ge 2x\]

Answer 9

r u sure @Catseyeglint911

Answer 10

Am I sure that's the right equation? I am.

Answer 11

thats gud !!! now what do u think about the answer

Answer 12

now what are ur x and y's

Answer 13

@Catseyeglint911

Answer 14

x and y must be the hours and hours can't be negative ... i think

Answer 15

I guess that (0,0) is correct since when you plug it into the equation, it's true, but so is
(–7, 20)

Answer 16

\[20 \ge 2(-7)\]
\[20 \ge 14\] True

Answer 17

so x can't be negative so as y

Answer 18

can the hours be negative @Catseyeglint911

Answer 19

So just to clarify...what you're saying is that even though the coordinates (–7, 20) holds true when plugged into the equation, it is still wrong because the hours can't be negative, correct?

Answer 20

yeah!!!! the only solutions which are in the 1st coordinates are the solutions @Catseyeglint911

Answer 21

Oh wow I feel retarded. Thank so much for your help. :)

Could I bother you for one more question by chance?

Answer 22

and 8,2 doesn't satisfy the equation so the solution is 0,0

Answer 23

ohk !!!

Answer 24

Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, which inequality represents this situation?

\[y \ge 0.75x\]
\[0.75y \ge x\]
\[y \le 0.75x\]
\[0.75y \le x\]

Answer 25

I pretty sure it's either the first one or the second one since 0.75 is the minimum amount of time he plays per day, and the x is the number of days.

Answer 26

don't u think that 1st one's the ans

Answer 27

wait a sec somethings confusing

Answer 28

i hope this helps http://www.mathportal.org/calculators.php

Answer 29

Sorry i meant the first or the third. I don't think the second or forth is right.

Answer 30

see x>= y so now i'm sure u can catch up with the answer @Catseyeglint911

Answer 31

Ah so it is the third

Answer 32

yup !!!

Answer 33

It said it was incorrect. D: I'm so confused.

Answer 34

u r confusing me too ....
i was talking to someone so wait....

Answer 35

okay.

Answer 36

day 1 => y=(45/60)*1 = 0.75*1;
day 2 => y= 0.75*2
day 3 => y=0.75*3

now as 0.75 is the minimum hrs he can play imply he can play more then 0.75 as well imply the increase in y so, as 0.75 increases so y increases =>
y >= 0.75x option c @Catseyeglint911

Answer 37

sorry this is option a @Catseyeglint911

Answer 38

not c

Answer 39

Oh okay, that makes sense.

Answer 40

Thank you for your help again! :)

Answer 41

u r welcome @Catseyeglint911

Answer 42

what is the question

Answer 43

What do you mean?

Answer 44

og I thought there were like 3 questions I didn't know all were solved lol

Answer 45

Nope, but thank you for offering. :)

Answer 46

@anonymous_secret thnks for ur medal and u too @Catseyeglint911

Answer 47

no problem

Answer 48

According to the online test, it is (0,0)