Linear Relationships and Their Applications

This video tutorial covers various aspects of proportional and linear relationships, including understanding and representing them through graphs, tables, and equations. It explores the concepts of slope and intercept, and provides examples and problems to illustrate these mathematical ideas. The tutorial also delves into solving linear equations and understanding their solutions.

If Priya jogs 1 mile in 0.2 hours, how far does Diego bike in the same time if he is twice as fast?

• 3 miles

• 2 miles

• 4 miles

• 1 mile

In the tortoise and hare race, if the hare runs 16 miles, how many miles does the tortoise run according to the relationship y = 4x?

• 12 miles

• 8 miles

• 16 miles

• 4 miles

What is the rate of change in a linear relationship where y increases by 15 when x increases by 1?

• 25

• 20

• 15

• 10

If a painting company charges $500 for supplies and $50 per hour of labor, how much would it cost for 20 hours of labor?

• $1000

• $1500

• $2000

• $2500

In a linear relationship, if the slope is 3 and the y-intercept is 0, what does the slope represent in the context of an equilateral triangle's perimeter?

• The height of the triangle

• The area of the triangle

• The sum of all three sides

• The length of one side

What does the slope of a line represent in the context of a muffin delivery service?

• The number of muffins delivered

• The number of deliveries made

• The cost per muffin

• The total delivery cost

In a recipe, if Noah uses 2 cups of sugar for every 1 cup of flour, how much flour does he need for 6 cups of sugar?

• 6 cups

• 4 cups

• 3 cups

• 2 cups

How does the y-intercept of a line relate to the initial amount of money Priya has before buying comic books?

• It indicates the initial amount of money she has

• It shows the number of comic books bought

• It represents the total cost of all comic books

• It is the cost per comic book

What is the slope of a line that represents a plane descending at a rate of 1000 feet per minute?

• Zero

• Positive

• Negative

• Undefined

If a sandwich store charges a delivery fee and $7 per sandwich, how much would 4 sandwiches cost including delivery?

• $28

• $33

• $35

• $40