Unit Rates and Speed Calculations

The video tutorial covers the concepts of ratios and unit rates, explaining how to relate them to tables and graphs. It provides examples of calculating unit rates, such as babysitting costs and cake prices, and demonstrates how to use graphs to visualize these rates. The tutorial also explores speed and distance graphs for different cars, illustrating how to calculate and compare their speeds using unit rates.

What is a unit rate?

• A comparison of two different quantities.

• A table of numerical data.

• A comparison of a quantity to one unit.

• A graph showing changes over time.

If a babysitter charges $8 per hour, how much would 5 hours of babysitting cost?

• $50

• $40

• $35

• $45

How do you calculate the cost per cake if 4 cakes cost $12?

• Subtract 4 from 12

• Add 4 and 12

• Divide 12 by 4

• Multiply 4 by 12

What is the cost per pound of chicken if 3 pounds cost $9?

• $4

• $3

• $5

• $2

If a black car travels 180 miles in 3 hours, what is its speed in miles per hour?

• 80 mph

• 50 mph

• 60 mph

• 70 mph

How many miles can a red car travel in 6 hours if it goes 40 miles per hour?

• 240 miles

• 200 miles

• 180 miles

• 300 miles

What is the speed of a blue car if it travels 450 miles in 9 hours?

• 40 mph

• 50 mph

• 70 mph

• 60 mph

Which car is the fastest based on the speed graph?

• Blue car

• All cars are the same speed

• Red car

• Black car

If a blue car travels 150 miles in 3 hours, what is its speed?

• 50 mph

• 70 mph

• 40 mph

• 60 mph

What does a steeper slope on a speed graph indicate?

• Constant speed

• Faster speed

• Slower speed

• Decreasing speed