Question

Jodi has two bank accounts. Her parents started Account A for her. It currently has $100 in it, and Jodi deposits $20 into it each month. Jodi's grandparents started Account B for her. It ccurently has $300 in it, and her grandparents deposit $40 into it each month.
Account A is modeled by the function f(x)=20x+100
and Account B is modeled by the function g(x)=40x+300
, where x
represent the number of months from now.

Write a new function (f+g)(x)
that represents the total amount of money Jodi has in both accounts. Simplify your answer.

Answer 1

Answer: $60x+400$

Step-by-step explanation:

Given

Account A can be modeled by $f(x)=20x+100$ and

Account B can be modeled by $g(x)=40x+300$

So, the function that represents the total amount of money Jodi has can be modeled by

$\Rightarrow (f+g)(x)=20x+100+40x+300\\\Rightarrow (f+g)(x)=60x+400$