Shellfish filter suspended matter. When the water temperature is $t \left( { } ^ { \circ } \mathrm { C } \right)$ and the individual weight is $w ( \mathrm {~g} )$, the amounts filtered in 1 hour by shellfish A and B (in L) are $Q _ { \mathrm { A } }$ and $Q _ { \mathrm { B } }$ respectively, and the following relational equations hold. $$\begin{aligned}
Q _ { \mathrm { A } } & = 0.01 t ^ { 1.25 } w ^ { 0.25 } \\
Q _ { \mathrm { B } } & = 0.05 t ^ { 0.75 } w ^ { 0.30 }
\end{aligned}$$ When the water temperature is $20 { } ^ { \circ } \mathrm { C }$ and the individual weights of shellfish A and B are each 8 g, the value of $\frac { Q _ { \mathrm { A } } } { Q _ { \mathrm { B } } }$ is $2 ^ { a } \times 5 ^ { b }$. What is the value of $a + b$? (Here, $a$ and $b$ are rational numbers.) [3 points] (1) 0.15 (2) 0.35 (3) 0.55 (4) 0.75 (5) 0.95
Shellfish filter suspended matter. When the water temperature is $t \left( { } ^ { \circ } \mathrm { C } \right)$ and the individual weight is $w ( \mathrm {~g} )$, the amounts filtered in 1 hour by shellfish A and B (in L) are $Q _ { \mathrm { A } }$ and $Q _ { \mathrm { B } }$ respectively, and the following relational equations hold.
$$\begin{aligned}
Q _ { \mathrm { A } } & = 0.01 t ^ { 1.25 } w ^ { 0.25 } \\
Q _ { \mathrm { B } } & = 0.05 t ^ { 0.75 } w ^ { 0.30 }
\end{aligned}$$
When the water temperature is $20 { } ^ { \circ } \mathrm { C }$ and the individual weights of shellfish A and B are each 8 g, the value of $\frac { Q _ { \mathrm { A } } } { Q _ { \mathrm { B } } }$ is $2 ^ { a } \times 5 ^ { b }$. What is the value of $a + b$? (Here, $a$ and $b$ are rational numbers.) [3 points]\\
(1) 0.15\\
(2) 0.35\\
(3) 0.55\\
(4) 0.75\\
(5) 0.95