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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=?
what do you think that answer means
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?
right so doing $9/9 was to actually figure out how much you spend on each apple right?
how much does it cost for one month?
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?
how much will do two months cost us ?
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?
one month is 14+25 two months is 14+14+25 three months is ?
im not sure?
each month costs an additional 14 dollars
you are adding 14 each time
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)
the numbers 25?
but I see a 25 in every expression
look at the number in front of 14
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 . .............
well that is for 4 months what about for n months
instead of putting 4 where you put 4 put a...
The algebraic expression you are looking for is ...
come on just change 4 to n
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
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.
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)
f(n)=4n+25 so f(6)=4*6+25
this says if we do just six months we have to pay 4*6+25
f= 49 6
you mean f(6)=49 right!
and yes if we just do six months we have to pay 49 dollars
for some reason I change 14 to 4
lol maybe I got tired of writing the extra digit over and over :p
f= 109 6
write it as f(6)=109
so this means if we just do 6 months we only have to pay 109 dollars
Anyways the algebraic expression we used was f(n)=14n+25 where f represents the dollar amount of doing n months at the gym
thanks alot bro @freckles