Question

Problem Solving: The function LaTeX: f\left(x\right)=50x+6500\:f ( x ) = 50 x + 6500represents the amount of money in a bank account over time. The function LaTeX: g\left(x\right)=-25x+9300\:g ( x ) = − 25 x + 9300represents the amount of money in another account over time. Write a rule for the total amount of money in the two accounts over time.

Answer 1

25x + 15800

Explanation:

Given

The amount of money in both banks over time represented by the functions;

f ( x ) = 50 x + 6500 and g( x ) = − 25 x + 9300

The total amount of money in the two accounts over time is expressed as;

h(x)= f(x) + g(x)

Substitute;

h(x) = 50 x + 6500 + (− 25 x + 9300)

h(x) = 50x - 25x +6500+9300

h(x) =25x + 15800

Hence the sum of the money in the account over time is 25x + 15800