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Mathematics 16 Online
OpenStudy (anonymous):

The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?

OpenStudy (anonymous):

can u help me @Shirley27

OpenStudy (shirley27):

Here, it would be an inequality of 2x > 4x +12

OpenStudy (anonymous):

so it would be 6

OpenStudy (shirley27):

solving it would look something like this: 2x > 4x + 12 -2x > 12 x < -6 except that doesn't seem right...

OpenStudy (anonymous):

why

OpenStudy (shirley27):

you can't have negative months

OpenStudy (anonymous):

these are the answers 0mnths 1mnths 2mnths 3mnths

OpenStudy (anonymous):

and true

OpenStudy (anonymous):

hello are u still there

OpenStudy (shirley27):

hold on, i'm getting a graph

OpenStudy (anonymous):

oh

OpenStudy (shirley27):

OpenStudy (anonymous):

so it would be 2

OpenStudy (shirley27):

the red is 2x and the blue is 4x + 12, the place where the red is above the blue is in the negative

OpenStudy (anonymous):

or 3

OpenStudy (shirley27):

well, what does x represent? the month?

OpenStudy (anonymous):

correct

OpenStudy (shirley27):

is y the growth rate or the actual amount?

OpenStudy (anonymous):

i think so?

OpenStudy (shirley27):

If y was the growth rate and both accounts started at the same amount, then the answer should be 0?

OpenStudy (anonymous):

oh i get where ur coming from

OpenStudy (anonymous):

thank

OpenStudy (anonymous):

its not 0

OpenStudy (shirley27):

oh, then i'm afraid I can't help you :(

OpenStudy (anonymous):

0h oh k

OpenStudy (anonymous):

maybe it is not \[f(x)=2x\] could it be \[f(x)=2^x\]?

OpenStudy (anonymous):

because for positive numbers \(2x\) is always less than \(4x+12\)

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