To solve the problem, let's first determine Maria's speed and fuel consumption based on the trip she took last summer.
(a)
1. Distance Driven Each Hour:
Maria drove a total distance of 50.5 kilometers over 5 hours. To find the distance driven each hour, we can divide the total distance by the total time:
\[ \text{Distance driven each hour} = \frac{50.5 \text{ km}}{5 \text{ hours}} = 10.1 \text{ km/hour} \]
2. Amount of Fuel Used for Each Hour:
Since each kilometer requires 3 liters of fuel, the amount of fuel used for each hour can be calculated as follows:
\[ \text{Fuel used each hour} = \text{Distance driven each hour} \times \text{Fuel per km} \]
That is:
\[ \text{Fuel used each hour} = 10.1 \text{ km/hour} \times 3 \text{ liters/km} = 30.3 \text{ liters/hour} \]
Summary:
- Distance driven each hour: 10.1 km
- Amount of fuel used for each hour: 30.3 liters
Fill in the Table:
-
1 hour:
- Distance: 10.1 km
- Fuel: 30.3 liters
-
2 hours:
- Distance: 20.2 km (10.1 km × 2)
- Fuel: 60.6 liters (30.3 liters × 2)
Now, you can fill out the amount of distance and fuel for each hour in a similar way:
-
3 hours:
- Distance: 30.3 km
- Fuel: 90.9 liters
-
4 hours:
- Distance: 40.4 km
- Fuel: 121.2 liters
-
5 hours:
- Distance: 50.5 km
- Fuel: 151.5 liters
-
6 hours:
- Distance: 60.6 km
- Fuel: 181.8 liters
-
7 hours:
- Distance: 70.7 km
- Fuel: 212.1 liters
-
8 hours:
- Distance: 80.8 km
- Fuel: 242.4 liters
-
9 hours:
- Distance: 90.9 km
- Fuel: 272.7 liters
(b)
How Much Fuel Would be Needed to Drive 9 Hours?
To find the total fuel needed for 9 hours, we can simply multiply the amount of fuel used for each hour by the number of hours:
\[ \text{Total Fuel Needed} = 30.3 \text{ liters/hour} \times 9 \text{ hours} = 272.7 \text{ liters} \]
Final Answer:
- Fuel needed to drive 9 hours: 272.7 liters