Distance, Speed, and Cost Problems

The video tutorial covers various mathematical concepts using real-life examples. It starts with calculating the distance a car can travel based on fuel consumption, followed by determining energy costs using an energy tariff. The tutorial then analyzes journeys using distance-time graphs, including a cyclist's trip to a park and back, Dave's drive to a park, and Davina's walk to a station. Each section involves plotting graphs and calculating speeds or costs, providing a comprehensive understanding of these mathematical applications.

How many miles can a car travel with 4 liters of fuel if it uses 1 liter for every 8 miles?

• 16 miles

• 24 miles

• 32 miles

• 40 miles

If a car uses 1 liter of fuel for every 8 miles, how far can it travel with 10 liters?

• 60 miles

• 70 miles

• 80 miles

• 90 miles

If a car travels 64 miles using 8 liters of fuel, what is its fuel efficiency?

• 9 miles per liter

• 6 miles per liter

• 7 miles per liter

• 8 miles per liter

What is the relationship between fuel consumption and distance traveled for the car described?

• Quadratic

• Logarithmic

• Exponential

• Linear

In the graph of fuel against distance, what does a point (4, 32) represent?

• 4 liters of fuel for 32 miles

• 32 miles for 4 liters of fuel

• 32 liters of fuel for 4 miles

• 4 miles for 32 liters of fuel

What is the fixed monthly charge in the energy tariff problem?

• £3

• £4

• £6

• £5

How much does 40 units of electricity cost, including the fixed charge?

• £13

• £9

• £21

• £17

What is the total cost for 60 units of electricity including the fixed charge?

• £21

• £19

• £17

• £15

What is the total cost for 20 units of electricity including the fixed charge?

• £7

• £13

• £9

• £11

What is the cost per unit of electricity in the energy tariff problem?

• 25p

• 20p

• 15p

• 10p