Distance, Rate, and Ratio Problems

The video tutorial covers lesson 7.1 from the sixth-grade Go Math textbook, focusing on independent practice problems. It explains how to calculate unit rates, graph ordered pairs, and understand the context of graphs. The tutorial also discusses distance and time calculations, real-life graph relationships, conjectures using tables, and determining scales for graphing rates or ratios.

What is the unit rate of money collected per sweatshirt sold?

• $20 per sweatshirt

• $15 per sweatshirt

• $25 per sweatshirt

• $30 per sweatshirt

How do you represent the data from the table on a graph?

• As a bar graph

• As a pie chart

• As ordered pairs

• As a single line

Why are the points on the graph not connected?

• Because the data is not continuous

• Because the graph is incomplete

• Because the points are incorrect

• Because the graph is too large

If 24 sweatshirts are sold, how much money is collected?

• $540

• $480

• $420

• $360

Does the point (5.5, 110) make sense in this context?

• No, because the money is incorrect

• Yes, because the money is correct

• No, because you cannot sell half a sweatshirt

• Yes, because you can sell half a sweatshirt

What is the distance Mindy would travel in 6 hours at a constant rate of 55 miles per hour?

• 330 miles

• 385 miles

• 275 miles

• 440 miles

How many weeks correspond to 56 days?

• 9 weeks

• 8 weeks

• 7 weeks

• 6 weeks

What is a real-life relationship that can be described by the graph?

• Number of minutes in an hour

• Number of months in a year

• Number of days in a week

• Number of hours in a day

What is the ratio of time to distance in the given scenario?

• 1 to 7

• 1 to 6

• 1 to 5

• 1 to 4

How do you determine the scales to use on each axis when graphing a rate or ratio?

• By choosing random values

• By including the smallest values

• By including the greatest values

• By using equal intervals