Average Speed, Discounts, and Percentages

This video tutorial covers various mathematical concepts including proportional relationships with fractions, calculating distance and time using rates, understanding percentage increase and decrease, calculating percent error, and applying percentages in real-world scenarios like discounts and taxes. The tutorial uses examples and tables to explain these concepts clearly.

David ran 1.5 miles in a quarter of an hour. What was his average speed in miles per hour?

• 7 miles per hour

• 6 miles per hour

• 5 miles per hour

• 4 miles per hour

If David continues running at the same speed, how far can he run in 5 hours?

• 35 miles

• 30 miles

• 25 miles

• 20 miles

How long will it take David to run 2.75 miles at his average speed?

• 0.76 hours

• 0.46 hours

• 0.56 hours

• 0.66 hours

Dylan worked 35 hours in January and 45.5 hours in February. What was the percentage increase in his working hours?

• 25%

• 20%

• 30%

• 35%

What is the percentage decrease in Dylan's working hours from February to March if he worked 35 hours in March?

• 20.1%

• 21.1%

• 23.1%

• 22.1%

A student estimated a mass to be 250 grams, but the actual mass was 240 grams. What is the percent error?

• 4.2%

• 3.2%

• 5.2%

• 6.2%

Jerry works 7 months out of the year. What percentage of the year does he work?

• 58.3%

• 50.3%

• 60.3%

• 55.3%

What is the discount price of an item originally priced at $199.99 with a 10% discount?

• $179.99

• $189.99

• $169.99

• $159.99

If the tax rate is 7.5%, what is the total cost of an item priced at $179.99 after tax?

• $193.49

• $183.49

• $203.49

• $173.49

How much tax is added to an item priced at $179.99 with a 7.5% tax rate?

• $14.50

• $13.50

• $15.50

• $12.50