Question

week 11 | exercise | gasoline consumption
for this table assume that gasoline costs $1.30/l

	vehicle	gas consumption	cost of driving 500 km
!toyota prius image	toyota prius (hybrid electric and gasoline vehicle)	4.3 l/100km
!ford f150 image	ford f150 (4wd, long box, 8 cylinder engine)	15.7 l/100km
!hummer image	hummer	18 l/100km

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:

Part 1a:

Let's choose the Toyota Prius with a gas consumption of \(4.3\space L/100\space km\).

Step 1: Calculate liters needed for 425 km

First, find out how many liters are consumed per kilometer: \(\frac{4.3\space L}{100\space km}= 0.043\space L/km\). Then, for 425 km, the liters needed are \(0.043\space L/km\times425\space km\).
\(0.043\times425 = 18.275\space L\)

Step 2: Calculate cost

The gas price is \(\$1.15/L\), so the cost is liters needed times price per liter: \(18.275\space L\times\$1.15/L\).
\(18.275\times1.15=\$20.91625\approx\$20.92\)

Part 1b:

Using the same vehicle (Toyota Prius) with 425 km travel.

Step 1: Liters needed (same as part a)

We already calculated liters needed as \(18.275\space L\) (since distance is same, consumption rate same).

Step 2: Calculate cost with new price

Gas price is \(\$0.92/L\), so cost is \(18.275\space L\times\$0.92/L\).
\(18.275\times0.92=\$16.813\approx\$16.81\)

Answer:

s:
1a) If choosing Toyota Prius, the cost is approximately \(\boldsymbol{\$20.92}\) (answers may vary slightly if a different vehicle is chosen, e.g., for Ford F - 150: Step 1: \(\frac{15.7}{100}\times425 = 66.725\space L\); Step 2: \(66.725\times1.15=\$76.73375\approx\$76.73\); for Hummer: Step 1: \(\frac{18}{100}\times425 = 76.5\space L\); Step 2: \(76.5\times1.15=\$87.975\approx\$87.98\)).

1b) If choosing Toyota Prius, the cost is approximately \(\boldsymbol{\$16.81}\) (for Ford F - 150: \(66.725\times0.92=\$61.387\approx\$61.39\); for Hummer: \(76.5\times0.92=\$70.38\)).