Question

Can someone please help me with this question? I have no clue how to do it....
Graph the inequality 102c + 150m + 41 > 500

Answer 1

Ok so have you've worked with linear equations in standard form right?
Like for ex. 3x+2y=10?

Answer 2

yes sir/ma'am

Answer 3

Oh lol no need for the sir
Anyway in the case of the example above you could graph it by finding the x and y intercepts,... how could you do that in 3x+2y=10?

Answer 4

so x=3 and y=5?

Answer 5

Be careful with your x
If you substitute 0 for y, which is what an x intercept is because it's y is 0, you get
3x+2(0)=10
3x+0=10
3x=10
x=3.333333333 repeating

Answer 6

oh ok

Answer 7

Ok so do the same thing with the inequality, except make sure it is a DASHED line when you draw and your SHADING is on the correct side because this is an inequality

Answer 8

I suggest moving the 41 to the other side before you start substituting 0's for x and y

Answer 9

what do you mean?

Answer 10

Well you know how you substituted 0 to get the x and y intercepts in the example right?
Do the same thing to your problem, I'm just saying move 41 to the right side to get c and m by themselves

Answer 11

So 41+102c + 150m > 500 ?

Answer 12

Well what I mean by move the 41 over is to subtract 41 from both sides
You know, getting rid of it on the left and doing the same thing to the right side

Answer 13

So you would get 102c+150m+41-41>500-41

Answer 14

What would that be?

Answer 15

102c+150>500 OR 102c+150>459?

Answer 16

It's the second one right?
Because you have to count the 41
Now substitute 0 both for m and c
and find the m(x) and c(y) intercepts

Answer 17

Actually that's an interesting question
Does it specify if m is x or m is y or vice versa

Answer 18

no sir I don't believe so, would you like me to show you the whole question?

Answer 19

Umm yeah sure

Answer 20

I'm sorry it's taking me so long to reply I'm doing my homework while doing this and I'm getting distracted

Answer 21

it's no problem! Thank you kindly for helping me!!

Answer 22

"You want to plan a nutritious breakfast. It should supply at least 500 calories or more. Be sure your choices would provide a reasonable breakfast. Suppose you want to have cereal, milk, and one glass of tomato juice. Let c be the number of cups of cereal and m the number of cups of milk. The inequality 102c + 150m + 41 > 500 models the situation."

Graph the inequality. (Assume you can eat partial eggs and drink partial apple juices.)

Answer 23

Well anyway I guess it doesn't matter which is the x and which is the y
So anyway now you have
\[102c+150m>459\]
Right?
So now substitute 0 for c, What do you get for m?
Substitute 0 for m, what do you get for c?

Answer 24

just ignore the greater than for now, imagine it as an equal sign

Answer 25

So if c=0 and m=0 it would look like this?
102+150>459?

Answer 26

well don't set both to 0
Do 1 at a time
So do 102(0)+150m>459, solve for m
Then start over and do 102c+150(0)>459, solve for c

Answer 27

So 102(0)+150m>459
m=150?

Answer 28

Not quite
Here let me show you
102(0) would just equal 0
So now you have 0+150m>459
Which is just 150m>459
So now you DIVIDE by 150 to get
m>3.06

Answer 29

Do you understand why you divide?
You do so because you have
\[150m>459\]
Dividing by 150 could get you
\[\frac{ 1 }{ 150 }\times \frac{ 150m }{ 1 }= 459\div150\]

Answer 30

that equals 150m/150 which simplifies to just m

Answer 31

oh ok, so then what?

Answer 32

You try the same with the second equation