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=[tex]f(x)=5x+150[/tex]→Linear function
Second account represented by the function=[tex]g(x)=150(1.03)^x[/tex]→Exponential function
where x is the time period in years.
When x=3 years
[tex]f(3)=5(3)+150=15+150=\$165[/tex]
[tex]g(3)=150(1.03)^3=\$163.90[/tex]
here, f(x) has the highest value .
When x=10 years
[tex]f(10)=5(10)+150=50+150=\$200[/tex]
[tex]g(10)=150(1.03)^{10}=\$201.58[/tex]
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
