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?

- anonymous

- katieb

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- anonymous

can u help me @Shirley27

- Shirley27

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

- anonymous

so it would be 6

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## More answers

- Shirley27

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

- anonymous

why

- Shirley27

you can't have negative months

- anonymous

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

- anonymous

and true

- anonymous

hello are u still there

- Shirley27

hold on, i'm getting a graph

- anonymous

oh

- Shirley27

##### 1 Attachment

- anonymous

so it would be 2

- Shirley27

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

- anonymous

or 3

- Shirley27

well, what does x represent? the month?

- anonymous

correct

- Shirley27

is y the growth rate or the actual amount?

- anonymous

i think so?

- Shirley27

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

- anonymous

oh i get where ur coming from

- anonymous

thank

- anonymous

its not 0

- Shirley27

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

- anonymous

0h oh k

- anonymous

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

- anonymous

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

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