Question

Need Help With number 28!! Fan And Medal

Answer 1

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=?

Answer 2

1

Answer 3

what do you think that answer means

Answer 4

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?

Answer 5

$9

Answer 6

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

Answer 7

yeah

Answer 8

@freckles

Answer 9

how much does it cost for one month?

Answer 10

$14

Answer 11

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?

Answer 12

how much will do two months cost us ?

Answer 13

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?

Answer 14

yes

Answer 15

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

Answer 16

im not sure?

Answer 17

each month costs an additional 14 dollars

Answer 18

you are adding 14 each time

Answer 19

14+14++14+25?

Answer 20

14+14+14+14+25

Answer 21

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)

Answer 22

the numbers 25?

Answer 23

but I see a 25 in every expression

Answer 24

look at the number in front of 14

Answer 25

ohhhhh yeahh

Answer 26

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 . .............

Answer 27

4(14)+25

Answer 28

well that is for 4 months
what about for n months

Answer 29

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

Answer 30

n

Answer 31

yes

Answer 32

The algebraic expression you are looking for is ...

Answer 33

come on just change 4 to n

Answer 34

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

Answer 35

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.

Answer 36

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)

Answer 37

6f

Answer 38

no no...

Answer 39

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

Answer 40

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

Answer 41

f=
49
6

Answer 42

you mean f(6)=49 right!

Answer 43

yes

Answer 44

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

Answer 45

darn

Answer 46

for some reason I change 14 to 4

Answer 47

f(n)=14n+25

Answer 48

wow lol

Answer 49

f(6)=14(6)+25

Answer 50

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

Answer 51

f=
109
6

Answer 52

write it as f(6)=109

Answer 53

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

Answer 54

ok

Answer 55

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

Answer 56

ok

Answer 57

thanks alot bro @freckles