1. **State the problem:** We need to find Anna's weekly gross pay $P$ given her hourly rates and hours worked, including overtime. 2. **Understand the pay rates:** - Normal rate per hour: $10$ - Normal hours worked: $40$ - Overtime time-and-a-half hours: $2$ - Overtime double time hours: $3$ 3. **Formulas for pay:** - Normal pay = normal rate $\times$ normal hours - Overtime time-and-a-half pay = normal rate $\times$ 1.5 $\times$ overtime hours - Overtime double time pay = normal rate $\times$ 2 $\times$ double time hours 4. **Calculate each component:** - Normal pay = $10 \times 40 = 400$ - Overtime time-and-a-half pay = $10 \times 1.5 \times 2 = 30$ - Overtime double time pay = $10 \times 2 \times 3 = 60$ 5. **Sum all components to find $P$:** $$ P = 400 + 30 + 60 = 490 $$ 6. **Answer:** Anna's weekly gross pay $P$ is $490$. Note: The options given (A. 9.20, B. 10.80, C. 10.90, D. 11.00) do not match the computed pay, so likely they refer to hourly rates or another question. Since the question asks for $P$, the total gross pay, the answer is $490$.