(a)Milan took a trip last summer. In

4
hours, he drove
50.8
kilometers (
km
) at a constant speed. Each kilometer required
3
liters of fuel. This summer, Milan considers taking a
7
hour trip, driving the same distance each hour as the trip he took last summer.
Fill in the blanks below. Then use the diagram to show the distance driven and fuel used in
7
hours.

Distance driven each hour:
km
Amount of fuel used for each hour:
liters
1 hour
km
liters
1 hour
km
liters
2 hours
(b)How much fuel would be needed to drive
7
hours?
liters

1 answer

(a) To calculate the distance driven each hour and the amount of fuel used for each hour, we can break this problem down into a step-by-step approach.

Step 1: Calculate distance driven each hour. Milan drove 50.8 km in 4 hours. To find the distance he drove each hour, we can calculate it as follows:

\[ \text{Distance per hour} = \frac{\text{Total distance}}{\text{Total time}} = \frac{50.8 \text{ km}}{4 \text{ hours}} = 12.7 \text{ km/hour} \]

Distance driven each hour: 12.7 km

Step 2: Calculate fuel needed for each hour. According to the information, each kilometer required 3 liters of fuel. Therefore, for the distance driven each hour:

\[ \text{Fuel per hour} = \text{Distance per hour} \times \text{Fuel per kilometer} = 12.7 \text{ km} \times 3 \text{ liters/km} = 38.1 \text{ liters/hour} \]

Amount of fuel used for each hour: 38.1 liters

Summary for 7 hours: 1 hour:
Distance: 12.7 km
Fuel: 38.1 liters

2 hours:
Distance: 25.4 km
Fuel: 76.2 liters

3 hours:
Distance: 38.1 km
Fuel: 114.3 liters

4 hours:
Distance: 50.8 km
Fuel: 152.4 liters

5 hours:
Distance: 63.5 km
Fuel: 190.5 liters

6 hours:
Distance: 76.2 km
Fuel: 228.6 liters

7 hours:
Distance: 89.0 km
Fuel: 266.7 liters

(b) To calculate how much fuel would be needed to drive for 7 hours:

\[ \text{Total fuel for 7 hours} = \text{Fuel per hour} \times \text{Total hours} = 38.1 \text{ liters/hour} \times 7 \text{ hours} = 266.7 \text{ liters} \]

Answer for (b): 266.7 liters