Question

Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x − 1. After combining the two functions, his new function is g(x) = 350(1.04)x − 1. Using complete sentences, explain what this new function means.
last oneee @imqwerty

Answer 1

is it g(x) = 350(1.04)x − 1
or is it this- > g(x) = 350[(1.04)x − 1]

Answer 2

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Answer 3

yes
so initially he had this much money-> $350

remember this->
\(increased~quantity=(initial~quantity)(1+rate)^{time}\)

here rate is in decimal form
try to relate this with your given equation

Answer 4

uhhh 350 (1.04) grows as time goes by and initial loss of 1
its exponential growth

Answer 5

well 350 is the initial quantity
and we can write the expression like this-

\(g(x)=350(1+0.4)^{x-1}\)

so here g(x) is the amount received after x years
350 is the original amount
0.4 corresponds to rate of increment

Answer 6

is that it? ¿

Answer 7

see this- http://math2.org/math/general/interest.htm
don't see that "loan balance" part tho :)

Answer 8

I see, but what do i write haha

Answer 9

you can write this-

we can write the equation like this-
\(g(x)=350(1+0.4)^{x-1}\)

relating this equation to the exponential growth equation
which is this-
\(increased~quantity=(initial~quantity)(1+rate)^{time}\)

we can conclude that g(x) denotes the increased amount of money after x years

Answer 10

you can also write that 0.4 corresponds to rate
and 0.4 means 40%
so the money is increasing by 40%

Answer 11

ahh I see thanks qwerty :D

Answer 12

np :~)