Question

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1. a) you are driving 425 km to winnipeg. when you leave sioux lookout the gas price is $1.15 / l. take the car of your choice (above). how much will it cost to travel there?

b) you are heading home now (also 425 km). winnipeg gas prices are cheaper at $0.92 / l. how much will it cost to go home in the same vehicle?

Explanation:

To solve this problem, we need to know the fuel efficiency (in km/L or L/100km) of the chosen car. Since the problem mentions "the car of your choice (above)" and that information is not provided, we'll assume a common fuel efficiency for a car, say 8 L/100 km (this is a typical value for a compact car; if a different efficiency is used, the numbers will change, but the method remains the same).

Part (a)

Step 1: Calculate fuel needed

First, find how many liters of gas are needed for 425 km. If the car uses 8 L per 100 km, the fuel consumption rate is $ \frac{8 \text{ L}}{100 \text{ km}} $.
To find liters for 425 km:
$ \text{Liters} = \frac{8 \text{ L}}{100 \text{ km}} \times 425 \text{ km} $
$ \text{Liters} = 0.08 \times 425 = 34 \text{ L} $

Step 2: Calculate cost

Gas price is $ \$1.15/\text{L} $. Multiply liters by price:
$ \text{Cost} = 34 \text{ L} \times \$1.15/\text{L} $
$ \text{Cost} = \$39.10 $

Part (b)

Step 1: Fuel needed (same as part a)

Since the distance is the same (425 km) and the vehicle is the same, fuel needed is still 34 L.

Step 2: Calculate cost

Gas price is $ \$0.92/\text{L} $. Multiply liters by price:
$ \text{Cost} = 34 \text{ L} \times \$0.92/\text{L} $
$ \text{Cost} = \$31.28 $

Final Answers

a) If the car uses 8 L/100 km, the cost to travel to Winnipeg is $ \boldsymbol{\$39.10} $ (this depends on the actual fuel efficiency of the chosen car).
b) The cost to go home is $ \boldsymbol{\$31.28} $ (again, dependent on the car’s fuel efficiency).

*Note: If the car’s fuel efficiency is different (e.g., 6 L/100 km or 10 L/100 km), recalculate Step 1 with the correct rate. For example, if the car uses 6 L/100 km:

• Part (a): $ \text{Liters} = \frac{6}{100} \times 425 = 25.5 \text{ L} $; $ \text{Cost} = 25.5 \times 1.15 = \$29.33 $
• Part (b): $ \text{Cost} = 25.5 \times 0.92 = \$23.46 $*

Answer:

Step 1: Fuel needed (same as part a)

Since the distance is the same (425 km) and the vehicle is the same, fuel needed is still 34 L.

Step 2: Calculate cost

Gas price is $ \$0.92/\text{L} $. Multiply liters by price:
$ \text{Cost} = 34 \text{ L} \times \$0.92/\text{L} $
$ \text{Cost} = \$31.28 $

Final Answers

a) If the car uses 8 L/100 km, the cost to travel to Winnipeg is $ \boldsymbol{\$39.10} $ (this depends on the actual fuel efficiency of the chosen car).
b) The cost to go home is $ \boldsymbol{\$31.28} $ (again, dependent on the car’s fuel efficiency).

*Note: If the car’s fuel efficiency is different (e.g., 6 L/100 km or 10 L/100 km), recalculate Step 1 with the correct rate. For example, if the car uses 6 L/100 km:

• Part (a): $ \text{Liters} = \frac{6}{100} \times 425 = 25.5 \text{ L} $; $ \text{Cost} = 25.5 \times 1.15 = \$29.33 $
• Part (b): $ \text{Cost} = 25.5 \times 0.92 = \$23.46 $*