Part B While in Europe, if you drive 121 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is \( 28.0 \mathrm{mi} / \mathrm{gal} \) ? Assume that 1 euro \( =1.26 \) dollars. Express your answer numerically in dollars. View Available Hint(s)

To calculate the total cost of gas for driving 121 km per day for one week, we need to follow these steps: 1. **Convert kilometers to miles**: \[ 1 \text{ km} = 0.621371 \text{ miles} \] Therefore, \[ 121 \text{ km} \times 0.621371 \text{ miles/km} \approx 75.19 \text{ miles} \] 2. **Calculate the total distance driven in one week**: \[ \text{Total distance in one week} = 75.19 \text{ miles/day} \times 7 \text{ days} \approx 526.33 \text{ miles} \] 3. **Calculate the total gallons of gas used**: Given the car's gas mileage is \( 28.0 \text{ miles/gal} \): \[ \text{Total gallons used} = \frac{526.33 \text{ miles}}{28.0 \text{ miles/gal}} \approx 18.8 \text{ gallons} \] 4. **Convert gallons to liters**: \[ 1 \text{ gallon} = 3.78541 \text{ liters} \] Therefore, \[ \text{Total liters used} = 18.8 \text{ gallons} \times 3.78541 \text{ liters/gallon} \approx 71.14 \text{ liters} \] 5. **Calculate the total cost of gas in euros**: Given the cost of gas is \( 1.10 \text{ euros/liter} \): \[ \text{Total cost in euros} = 71.14 \text{ liters} \times 1.10 \text{ euros/liter} \approx 78.25 \text{ euros} \] 6. **Convert the total cost from euros to dollars**: Given the exchange rate is \( 1 \text{ euro} = 1.26 \text{ dollars} \): \[ \text{Total cost in dollars} = 78.25 \text{ euros} \times 1.26 \text{ dollars/euro} \approx 98.67 \text{ dollars} \] Thus, the total amount spent on gas in one week is approximately **$98.67**.