Rates, Ratios, and Speed Problems

The video tutorial covers the concepts of ratios, rates, and unit rates, explaining how to calculate and use them to solve problems. It includes examples such as calculating the speed of a subway car and the orbit speed of the International Space Station. The tutorial also provides practice problems for students to apply their understanding of unit rates in real-world scenarios.

What is a ratio?

• A comparison of two quantities using subtraction

• A comparison of two quantities using multiplication

• A comparison of two quantities using division

• A comparison of two quantities using addition

How is a rate different from a ratio?

• A rate compares two quantities with the same units

• A rate is always greater than a ratio

• A rate compares two quantities with different units

• A rate uses addition instead of division

What is the unit rate of a subway car traveling 2.5 miles in 5 minutes?

• 0.5 miles per minute

• 5 miles per minute

• 1 mile per minute

• 2 miles per minute

How do you determine if the International Space Station is orbiting at a constant speed?

• By checking if the ratios of time to distance are different

• By checking if the speed is increasing

• By checking if the speed is decreasing

• By checking if the ratios of time to distance are the same

What is the speed of the International Space Station if it travels 14.4 miles in 3 seconds?

• 5.2 miles per second

• 3.6 miles per second

• 4.8 miles per second

• 6.0 miles per second

How many square feet of artificial turf can you buy for $1 if 25 square feet cost $100?

• 2500 square feet

• 25 square feet

• 400 square feet

• 100 square feet

What is the speed of a city bus if it travels 1/4 mile in 1/2 minute?

• 1 mile per minute

• 1/2 mile per minute

• 1/4 mile per minute

• 3/4 mile per minute

If you hike 2/3 mile in 1/4 hour, what is your speed in miles per hour?

• 3 miles per hour

• 1 and 1/3 miles per hour

• 2 and 2/3 miles per hour

• 2 miles per hour

Who hikes faster: someone who hikes 2 and 2/3 miles per hour or someone who hikes 2 and 1/3 miles per hour?

• They hike at the same speed

• The second person

• It depends on the terrain

• The first person

How much faster is the first hiker compared to the second hiker?

• 1/2 mile per hour

• 2/3 mile per hour

• 1/3 mile per hour

• 1 mile per hour