Question

Geometric Sequences~

Answer 1

Christina has some money at home, and the amount is modeled by the function h(x) = 103. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x − 1. Using complete sentences, explain to Christina how she can combine her functions to create a new function, and explain what this new function means.

Answer 2

@_greatmath7

Answer 3

x usually represents time in months, and when you say h(x) = 103, this is a constant function, flat all through out as x→∞. For s(x), it represent a line with increasing value of s(x) as x→∞ at a rate of 1.03 and intercept of -1 at s(x) axis.
When you say "combine" to form a new function means addition of the two given functions, that is, h(x) + s(x), say equal to g(x)...
g(x)=h(x)+s(x)=103+1.03x−1=1.03x+102
g(x)=1.03x+102
the new function g(x) is the same as s(x) with respect to the rate of increase, equal to 1.03... except this time, the intercept is +102, g(x) is the shifted version of s(x), from -1 to +102 (due to h(x)=103)... her savings account in a bank will grow at a rate of 3% per unit of time (x), starting at a savings of 102 at x=0...

Answer 4

@bingtamekia, Wow, you explained that really well, really easy to understand (though I myself am pretty bad at this stuff) thank you very much~

Answer 5

np

Answer 6

Do you think you'll be able to help with a few more? I've got three more questions ~

Answer 7

Sure

Answer 8

I'll go ahead and close this one though, haha ^^