Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^(x − 1). After combining the two functions, the new function is g(x) = 103(1.03)^(x − 1). Using complete sentences, explain what this new function means.

Question

janu16 · Answer

@phi

phi · Answer

this looks peculiar
 h(x) = 103

h is one hundred three ??

janu16 · Answer

yes

phi · Answer

ok.  and this one
 s(x) = (1.03)^x − 1.

is that
$$ s(x) = 1.03^{x-1}  $$
or
$$ s(x) = 1.03^x -1 $$

janu16 · Answer

first one

phi · Answer

oh.  then you should use parens around the (x-1)

janu16 · Answer

okk

phi · Answer

I guess the combined function shows how much interest you get when you put in $103 into that bank.  They don't say what x is, but I assume it measure time in months or years.

janu16 · Answer

alright thanks so much.

kinged · Answer

It means that her deposit is getting 3% larger each period set by the bank (i.e. month, year...).