I need help with this please! I want someone to go through the steps with me, not tell me the answer. Thanks~! ^_^

Gordon opened an account that earns him 18% interest annually. He puts $3,000 into that account, which he models with the function, f(x). Gordon also took an additional $500 and put it under his mattress, which he models with the function, g(x).

How can Gordon model his total savings, both in the account and under his bed, together? How would this affect the graph of just his money in the account?

Question

I need help with this please! I want someone to go through the steps with me, not tell me the answer. Thanks~! ^_^

Gordon opened an account that earns him 18% interest annually. He puts $3,000 into that account, which he models with the function, f(x). Gordon also took an additional $500 and put it under his mattress, which he models with the function, g(x).

How can Gordon model his total savings, both in the account and under his bed, together? How would this affect the graph of just his money in the account?

yato_gami · Answer

@3mar

3mar · Answer

Well, I am here.

yato_gami · Answer

Yay!

yato_gami · Answer

So, how would I start off this question?

wcrmelissa2001 · Answer

@3mar g(x) would be constant throughout right

yato_gami · Answer

What does g(x) stand for?

wcrmelissa2001 · Answer

the money under his bed.

3mar · Answer

"Gordon opened an account that earns him $\color{red}{18~\text{%}}$ interest annually. He puts $\color{red}{$~3,000}$ into that account"

What is the initial amount and what is the rate of interest?

wcrmelissa2001 · Answer

g(x) is just another way of writing f(x) but when we use g(x) we know it's different from f(x). that's about it

yato_gami · Answer

Would it be $3,000?

yato_gami · Answer

@wcrmelissa2001 oh ok! Thanks! ^_^

3mar · Answer

@wcrmelissa2001 
Please, Step by step.
We are now extracting data about the account!

wcrmelissa2001 · Answer

@3mar i know i was just asking to check if I understood the question correctly

3mar · Answer

"Would it be $3,000?"

What is it would be?

3mar · Answer

Actually I did not reach that point yet, @wcrmelissa2001!
When I did, I will tag you and make sure that you got the idea! agree??

yato_gami · Answer

"Would it be" as in, is 3,000 the initial amount. Is that right?

3mar · Answer

Right!
and the interest rate?

yato_gami · Answer

And the rate of interest is 18%, yes?

3mar · Answer

$$\checkmark$$
Great!

yato_gami · Answer

Awesome! This is making sense so far!

3mar · Answer

So can you now form a function that models the account money?

yato_gami · Answer

Um, let me try it out.

yato_gami · Answer

f(x)= 3,000(1.8)? Is that right?

3mar · Answer

|dw:1480592957060:dw|

Did you get the idea?