Cliff filled up his truck's gas tank before leaving for a trip to Edmonton, AB. His trucks's gas tank holds 90 L of gas when full. He knows that if he drives at a fairly constant speed, his truck uses about 3.84 L of gas for every 30 km of driving.
a) Make a table of values that shows the amount of fuel left in Cliff's truck after he has driven 0 km, 25 km, 75 km, 150 km, and 215 km. He starts with a full tank of gas, so at 0 km you have 90 L of gas in tank explain answer
To calculate the amount of fuel left in Cliff's truck after driving a certain distance, we can use the rate of 3.84 L of gas for every 30 km of driving.
| Distance (km) | Fuel used (L) | Fuel remaining (L) |
|---------------|---------------|--------------------|
| 0 | 0 | 90 |
| 25 | 3.2 | 86.8 |
| 75 | 9.6 | 80.4 |
| 150 | 19.2 | 70.8 |
| 215 | 26.4 | 63.6 |
Explanation:
- At 0 km, Cliff has a full tank of 90 L of gas.
- After driving 25 km, he would have used 3.2 L of gas (3.84 L for 30 km, so 3.84/30 * 25) and have 86.8 L remaining.
- After driving 75 km, he would have used 9.6 L of gas (3.84 L for 30 km, so 3.84/30 * 75) and have 80.4 L remaining.
- After driving 150 km, he would have used 19.2 L of gas (3.84 L for 30 km, so 3.84/30 * 150) and have 70.8 L remaining.
- After driving 215 km, he would have used 26.4 L of gas (3.84 L for 30 km, so 3.84/30 * 215) and have 63.6 L remaining.