Option b: 7000
Explanation:
The function that Larissa earns on an investment is
[tex]f(x)=7000(1+0.03)^{x}[/tex]
The amount of money originally invested by Larissa can be found using the compound interest formula,
[tex]f(x)=p(1+r)^{x}[/tex]
where
P is the amount of money invested. (Principal)
r is the rate of interest which can be expressed as decimals.
x is the number of periods.
Hence, comparing [tex]f(x)=7000(1+0.03)^{x}[/tex] with the formula [tex]f(x)=p(1+r)^{x}[/tex], the principal amount can be determined.
Thus, the principal amount is 7000.
