Final answer:
Using the simple interest formula, Ryan will pay a total interest of $4,532.75 over 6 years at an annual simple interest rate of 4.25%. This corresponds to option C.
Step-by-step explanation:
To calculate the simple interest Ryan will pay over 6 years, we can use the simple interest formula: \(I = PRT\), where \(I\) is the interest, \(P\) is the principal amount, \(R\) is the interest rate per period, and \(T\) is the number of periods.
In Ryan's case:
- Principal \(P\) = $17,695
- Annual interest rate \(R\) = 4.25% or 0.0425 in decimal form
- Time \(T\) = 6 years
Plugging these values into the formula gives us:
\(I = $17,695 \times 0.0425 \times 6\)
\(I = $4,532.75\)
So, the total interest Ryan will pay over 6 years is $4,532.75, which corresponds to option C.