Question

Nick has budgeted $60.00 per week for traveling expenses. He will spend $6.00 round trip per day to get to and from school. Write an equation to represent this problem (5 points) and use your equation to find out how much money he will have left after 5 days (5 points).

Answer 1

May I help?

Answer 2

Yes :)

Answer 3

With my pleasure!

Any ideas?
Have the key?

Answer 4

to be honest im completely lost lol idk what to do.

Answer 5

I am with you to get the idea In Sha' Allah!
Don't worry...


"Nick has budgeted $60.00 per week for traveling expenses"

So the \(initial \) amount of money that he will spend from it $60..
agree>

Answer 6

Yeah i agree

Answer 7

That is good....
next step:

"He will spend \(\color{red}{$6.00}\) round trip \(\color{red}{per~ day}\) to get to and from school"

So 6$ every day is spent..
agree?

Answer 8

let x = day of the week ,
y=money remaining after x days in the week

The idea is,
money remaining = initial amount - costs

Answer 9

Yep i aggree to that to :)

Answer 10

So take it @DanJS

Answer 11

y = $60 - spending

spending is $6 per 1 day, so for 2 days it would be 2*6, or 3 days 3*6, x days 6*x ...
the cost is the daily price times the number of days used

y = $60 - $6*x

Answer 12

Money remaining is the initial 60 take away 6 dollars per x days gone past

x-- days into the week
y--money ramaining after x days
y = 60 - 6*x

Answer 13

ok give me a second

Answer 14

Would it be 30?

Answer 15

yeah they want day 5, x=5

Answer 16

ok

Answer 17

What next @DanJS

Answer 18

Can I proceed with you? @TylerMckinney16

Answer 19

yes please.

Answer 20

Thank you.
Pleasure is mine!


Where were you?

Answer 21

As @Danjs showed...

The initial 60 take away 6 dollars per x days gone past
x-- days into the week
y--money ramaining after x days

y = 60 - 6*x

Answer 22

My computer died before lol

Answer 23

And ok

Answer 24

and he is alive now?? ;)

Answer 25

Yes lol

Answer 26

Two requires:

- Write an equation to represent this problem
and
- use your equation to find out how much money he will have left after 5 days

Answer 27

yep

Answer 28

Very good..

Are you satisfied with the first part?

\[\Huge f(\color{red}x)=60-6\color{red}x\]

Answer 29

Yeah but how to i work the problem lol?

Answer 30

"how to i work the problem" you mean the second part?

Answer 31

Yeah

Answer 32

It is easier that the first one!

"use your equation to find out how much money he will have \(\color{red}{left}\) after \(\color{red}5\) days "
means: how much money remains after 5 days of spending money???

Answer 33

Would it be 30?

Answer 34

If @Danjs let me quote,

"The idea is,
money remaining \(f(x)\) = initial amount \(60\) - what has been spent \(6x\)"

i.e: \[\Huge f(\color{blue}x)=60-6\color{blue}x\]
\[\Huge f(\color{blue}5)=60-6(\color{blue}{5})=~~?\]

Answer 35

55?

Answer 36

YES...
it would be \(30\)..

Answer 37

\[\huge f(\color{blue}5)=60-6(\color{blue}{5})=60-30=30 \checkmark\]

Answer 38

Oh so thats the answer :)

Answer 39

Exactly...
BUT from brother to brother...
Stop 2nd guessing yourself!

You hit it firstly then retracted...no...trust your answer as you got it with steps..

Answer 40

Ok :)

Answer 41

You are hard working student and body builder also! ;)