Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Step-by-step explanation:
Given:- Principal amount= $150
First account represented by the function=\(f(x)=5x+150\)→Linear function
Second account represented by the function=\(g(x)=150(1.03)^x\)→Exponential function
where x is the time period in years.
When x=3 years
\(f(3)=5(3)+150=15+150=\$165\)
\(g(3)=150(1.03)^3=\$163.90\)
here, f(x) has the highest value .
When x=10 years
\(f(10)=5(10)+150=50+150=\$200\)
\(g(10)=150(1.03)^{10}=\$201.58\)
g(x) has the highest value.
Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
