Question

Jay finds a texting plan that costs a flat fee of $15 per month for 100 texts, plus $.25 per text after that. Which cost function represents this scenario if x equals the number of texts exceeding 100 that Jay sends in a month?

C(x) = 100 + .25x
C(x) = .25+ 100x
C(x) = .25 + 15x
C(x) = 15+ .25x

Answer 1

Which graph represents the solution set for the following compound inequality?

−5 < − 4x + 3 ≤ 23

Image 1: https://www.connexus.com/content/media/369615-772011-100620-AM-454503954.png

Image 2: https://www.connexus.com/content/media/369615-772011-100712-AM-1104257134.png

Image 3: https://www.connexus.com/content/media/369615-772011-100630-AM-1464945737.png

Image 4: https://www.connexus.com/content/media/369615-772011-100641-AM-2041340039.png

Answer 2

Im stuck on these, its been so long since ive done them, I cant remember how to solve them, but if I had to take a guess I would say for the second one, A but I have no idea for the first one, still figuring it out...

Answer 3

which question do you want to do 1st?

Answer 4

we can do the first one, but sadly your going to have to explain it to me... I haven't done these kinds of problems in a while so i'm not to familiar with it :( sorry

Answer 5

ok. c(x) if function notation for the equation or function that will compute the monthly cost as described in the question. ok thus far?

Answer 6

plus, im probably going to have a lot of questions... this pre test for my final has material that I learned a long time ago, and its not even what I learned in this semester... so sadly im gonna have to go through it all over again... I dont know if ur up to help me that much but I would truly appreciate any kind of help! :)

Answer 7

okay, I got that so far...

Answer 8

ok. so what is he going to pay for sure each month no matter how many texts?

Answer 9

$15 plus $.25

Answer 10

no. $15. if he texts 37 or 21 or 0 times, he is still going to pay $15. only when he goes over 100 texts will he pay more. so he pays $15 whether he texts or not. ok?

Answer 11

ohh okay!

Answer 12

gotcha

Answer 13

so C(x) must equal 15 plus whatever additional charges he incurs. so the additional would be added to 15. what does the question state about what x represents?

Answer 14

x represents the number of texts exceeding 100 that Jay sends in a month

Answer 15

so if he texts 110 times a month, then x=10, right?

Answer 16

yes

Answer 17

so what does 10 extra texts cost him?

Answer 18

would it be 2.5, because .25(10) = 2.5?

Answer 19

correct. you multiplied the rate--.25--times the number of texts over 100 (which is represented by x as stated in the question. so which answer do you think is the correct one?

Answer 20

D?

Answer 21

correct. so why do you think this is so ahrd?

Answer 22

It not hard, I just didn't remember how to solve it... lol thanks for your help! but I do have some more questions... can you stick around?

Answer 23

but I have to go to the restroom really quick ill brb, so please stick around :)

Answer 24

i can at least for the graph question posted

Answer 25

okay, im back and cool, thanks :)

Answer 26

so, u want to get started on the graph one?

Answer 27

yes. to solve ineqs, we use the same method as for equations--isolate x by algebraic manipulation--following the usual rules WITH ONE MAJOR EXCEPTION: WHEN YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER, YOU MUST SHIFT THE DIRECTION OF THE INEQ SIGN. SO WHAT do you come up with?

Answer 28

okay, so I have −5 < − 4x + 3 ≤ 23 can u remind what to do from here?

Answer 29

you have to have x by itself in the middle. so start by subtracting 3 FROM EACH MEMBER OF THE INEQ. what do you then have?

Answer 30

okay from there you would get:

−5 < − 4x + 3 ≤ 23
-3 -3 -3
-8< -7x ≤ 20
you would get this right?

Answer 31

no

Answer 32

okay, can you explain...

Answer 33

everything is right except when you subtracted 3 from -4x+3 you don't get 7x, you get -4x--you subtract the 3 from the 3 and not the -4x

Answer 34

ohhh, okay, so its -8 < -4x ≤ 20

Answer 35

right. Now you have to still get x by itself

Answer 36

combine like terms?

Answer 37

no. x is "modified" by a "-4" so you need to divide everything by -4

Answer 38

ohh right! okay okay... -8/-4 < -4x/-4 ≤ 20/-4 = 2 < 1x ≤ -5? not sure about the middle part...

Answer 39

you forgot the MAJOR EXCEPTION TO THE RULES: you divided by a negative number so you have to change the dirction of the ineq signs. ( and 1x is written simply as "x")

Answer 40

ohh RIGHT!!! ugh sorry the answer would be 2 > 1x -> -5

Answer 41

right. so x is less than 2 but greater than or equal to -5.

Now look at the first choice for the graphic answer. The shaded portion of the number line represents all the numbers on the shade portion. The open circle on 2 means that 2 is not include and the colored circle on the -5 means that -5 is included in the solution.

so do you think that this one is the correct graph?

Answer 42

yes, I think A is the correct one!

Answer 43

you are correct

Answer 44

yay!! :) wow thank you so much for going over this with me!! I do have some more... do you think you can stick around?

Answer 45

I have these three, two of which I have answered, but im stuck on the middle one...

6. Maria brings d dollars to an amusement park. The park charges an admission fee of $20. Each game at the park costs $1.50. Which inequality shows the number of games, g, which Maria can play? (4 points)
20 + 1.5g ≥ d
20 + 1.5g < d
20 + 1.5g > d
20 + 1.5g ≤ d<<<My Answer


7. Which equation represents the line passing through the points (2, −2) and (−5, 12)?

2x − y = 2
2x + y = 2
x + 2y = 2
x − 2y = 2


8. A company makes jewelry. It costs $6,400 to make 10 pieces of jewelry and $11,200 to make 20 pieces of jewelry. Which equation models the cost, C(x), as a linear function of the number of pieces of jewelry, x?

C(x) = 480x + 1600<<< My Answer
C(x) = 1600x + 480
C(x) = 480x − 1600
C(x) = 1600x − 480

Answer 46

and I apologize if im overwhelming you, I just really want to be ready to take my final, so im really stressing over it...

Answer 47

are you still there?

Answer 48

Here are some links to some more of my questions, now take note that the same ones we just went over are on here as well, so pay no mind to them, just the ones you haven't seen...

http://answers.yahoo.com/question/index;_ylt=Ahp4jdZwsHodeE5Ns9k1hhnsy6IX;_ylv=3?qid=20120504084358AAWAaLt


http://answers.yahoo.com/question/index;_ylt=AotJ07oO.0iNL.Ty7i4mTSTsy6IX;_ylv=3?qid=20120504090545AACpTly

Answer 49

for 7, plug in the 2 points into each eq and see if it is true.

The links say that I can't access.

Answer 50

try copying the whole thing, mite help

Answer 51

come to my new question, it will be easier