Need Help With number 28!! Fan And Medal

- anonymous

Need Help With number 28!! Fan And Medal

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- anonymous

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- freckles

let's do a question with integer numbers only
molli purchased 9 applies for $9.
What do you get when you divide that dollar amount by the number of apples your bought? What is $9/9=?

- anonymous

1

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- freckles

what do you think that answer means

- freckles

like say you were going to the market
and the person tells you each apple costs a 1 dollar
and you buy 9 apples
how much do you think you are going to spend?

- anonymous

$9

- freckles

right so doing $9/9 was to actually figure out how much you spend on each apple right?

- anonymous

yeah

- anonymous

@freckles

##### 1 Attachment

- freckles

how much does it cost for one month?

- anonymous

$14

- freckles

well and to even do that one month we have to pay the membership fee
which is 25 dollars
so one month will cost us 14+25 right?

- freckles

how much will do two months cost us ?

- freckles

we never have to pay the membership fee again just that one time
so doing another month will just be an addition 14 to the 14+25 correct?

- anonymous

yes

- freckles

one month is 14+25
two months is 14+14+25
three months is ?

- anonymous

im not sure?

- freckles

each month costs an additional 14 dollars

- freckles

you are adding 14 each time

- anonymous

14+14++14+25?

- anonymous

14+14+14+14+25

- freckles

so for one month we only have to pay 14+25
but if we do just two months the total amount we pay is 14+14+25
and if we just do three months the total amount we pay is 14+14+14+25
and if we just do four months the total amount we pay is 14+14+14+14+25
...
anyways.. before we continue
another way to say 14+14 is 2(14)
another way to say 14+14+14 is 3(14)
another way to say 14+14+14+14=4(14)
--
so let's resay what we have:
so for one month we only have to pay 14+25
but if we do just two months the total amount we pay is 2(14)+25
and if we just do three months the total amount we pay is 3(14)+25
and if we just do four months the total amount we pay is 4(14)+25
--
so if we just do n month the total amount we pay is ?
(before you answer this question look at the pattern above.. what number is the only thing that is changing)

- anonymous

the numbers 25?

- freckles

but I see a 25 in every expression

- freckles

look at the number in front of 14

- anonymous

ohhhhh yeahh

- freckles

remember 14 is 1(14)
if we just do one month we have 1(14)+25
if we do two months we have 2(14)+25
if we do three months we have 3(14)+25
so if we n months we have . .............

- anonymous

4(14)+25

- freckles

well that is for 4 months
what about for n months

- freckles

instead of putting 4 where you put 4 put a...

- anonymous

n

- freckles

yes

- freckles

The algebraic expression you are looking for is ...

- freckles

come on just change 4 to n

- anonymous

if we just do one month we have 1(14)+25
if we do two months we have 2(14)+25
if we do three months we have 3(14)+25
n(14)+25

- freckles

you did it!
if we just do one month we have 1(14)+25
if we do two months we have 2(14)+25
if we do three months we have 3(14)+25
so if we four months we have 4(14)+25
...
and if we do n months we have n(14)+25
n(14)+25 is the same as saying 14n+25 which is how it is normally written
so you have f(n)=14n+25 where f represents the dollar amount you pay for doing n months.

- freckles

for example if n=1
f(1)=14*1+25=14+25=39
this says if we just do one month at the gym we will have to pay 39 dollars
f(2)=14*2+25=53
this says if we just do two months at the gym we will have to pay 53 dollars
anyways they want you to find f(6)

- anonymous

6f

- freckles

no no...

- freckles

f(n)=4n+25
so
f(6)=4*6+25

- freckles

this says if we do just six months we have to pay 4*6+25

- anonymous

f=
49
6

- freckles

you mean f(6)=49 right!

- anonymous

yes

- freckles

and yes if we just do six months we have to pay 49 dollars

- freckles

darn

- freckles

for some reason I change 14 to 4

- freckles

f(n)=14n+25

- anonymous

wow lol

- freckles

f(6)=14(6)+25

- freckles

lol maybe I got tired of writing the extra digit over and over :p

- anonymous

f=
109
6

- freckles

write it as f(6)=109

- freckles

so this means if we just do 6 months we only have to pay 109 dollars

- anonymous

ok

- freckles

Anyways the algebraic expression we used was f(n)=14n+25
where f represents the dollar amount of doing n months at the gym

- anonymous

ok

- anonymous

thanks alot bro @freckles

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