Question

I NEED HELP!!!!!!!!!!!!

Answer 1

At the grocery store, Amy purchased 4 boxes of Cheerios and 3 cartons of orange juice for $23.50. If a box of Cheerios costs $1 less than double the price of a carton of orange juice, how much does a box of Cheerios cost?
a) Define your variables and write a system of equations to model the problem.
b) Solve your system using an algebraic method (substitution or elimination):

Answer 2

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Answer 3

First... define your variables

Answer 4

Read the problem sentence by sentence.
Amy bought 4 boxes of Cheerios and 3 cartons of Orange juice. So make Cheerios=x and Orange juice=y.
So next, it says that all together she spent $23.50.
So make an equation using this information.

Answer 5

ok.. so what would the equation be? @courtney_celience1236

Answer 6

Look at the information and use what you know about algebraic equations to try to set it up.

Answer 7

idk. i never learned this

Answer 8

Standard form is Ax+By=C
Just plug in the given info

Answer 9

4x+3y=23.50

Answer 10

Awesome!
Now, next the problem says that Cheerios cost $1 less than double the price of Orange Juice. So how would you set that equation up?

Answer 11

idk.

Answer 12

You're looking for the price of Cheerios. So your equation would be equal to x.
The problem says x is $1 less than double OJ, or y

Answer 13

what would the equation look like?

Answer 14

how would i solve

Answer 15

Because you know what x equals in relation to y, you can simply set it up using the word problem.
Since the problem says double the price of OJ, automatically you should make x=2y
The other thing the problem says is that x is a dollar less than 2y.
So what would that look like?

Answer 16

idk i am so confused

Answer 17

okay, so say you have two shirts. and your cousin has one less than double the amount of shirts you have. how would you figure out how many shirts your cousin has?

Answer 18

dk can u give me he equation for the second part

Answer 19

x=2y-1

Answer 20

then how would i solve

Answer 21

So now all you have to do is solve for one of the variables using the substitution or elimination method, then plug in the answer to find the other variable.

Answer 22

how?

Answer 23

idk how

Answer 24

The easiest way with this problem would be to use the substitution method. Since you already know what x equals, you plug that formula into where you see x in your first equation, the solve that for y.

Answer 25

So your equation would end up looking like this:
4(2y-1)+3y=23.50

Answer 26

i got the answer as y=2.5

Answer 27

So now choose one of your equations, plug your answer in for y, and solve for x

Answer 28

11. Susanna heard some exciting news about a well-known celebrity. Within a day, she told 4 friends who hadn’t heard the news yet. By the next day, each of those friends told 4 other people who also hadn’t heard the news. By the next day, each of those people told four more, and so on.
a) Assume the rumor continues to spread in this manner. Let N be the function that assigns to d the number of people who heard the rumor on the dth day. Write an expression for N(d).
b) On which day will at least 100,000 people hear the rumor for the first time? Show how you determined your answer.
c) How many people will hear the rumor for the first time on the 20th day? Show how you determined your answer.
d) Is the answer to part c) realistic? Explain your reasoning.

Answer 29

@courntey_celiene1236

Answer 30

@courtney_celiene1236

Answer 31

so if this were to continue, the number of people who heard the rumor quadruples each day

Answer 32

expression?

Answer 33

i so confusion

Answer 34

Give me a minute

Answer 35

@courtney_celiene12336

Answer 36

N(d)=4^d

Answer 37

b?

Answer 38

b) On which day will at least 100,000 people hear the rumor for the first time? Show how you determined your answer.

Answer 39

log4^d=log100,000

Answer 40

?

Answer 41

whats log?

Answer 42

logarithms.

Answer 43

using \[n(d)=4^d\]

Answer 44

put it in your calculator as i typed it

Answer 45

you should get d=log5/4 or 8.3