Linear Relationships and Rates of Change

The video covers understanding and representing proportional relationships using graphs, tables, and equations. It explores linear relationships, comparing different proportional relationships, and calculating slopes. The video also delves into solving linear equations and understanding their graphical 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?

• 2 miles

• 4 miles

• 1 mile

• 3 miles

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?

• 8 miles

• 16 miles

• 4 miles

• 12 miles

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

• 10

• 15

• 20

• 25

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 the running scenario, who runs more steps in 5 hours, Andre or Priya?

• Not enough information

• Both run the same

• Priya

• Andre

What does the slope of 1/4 represent in the context of ticket sales?

• Each ticket costs $0.50

• Each ticket costs $4.00

• Each ticket costs $1.00

• Each ticket costs $0.25

If Noah uses 10 cups of sugar, how many cups of flour does he need according to his recipe?

• 3 cups

• 15 cups

• 10 cups

• 5 cups

What is the y-intercept of the equation y = 70x + 100?

• $70

• $100

• $170

• $0

How would you describe the slope of a line that represents a plane cruising at a constant altitude?

• Undefined

• Positive

• Zero

• Negative

If a sandwich store charges $33 for 4 sandwiches, what is the cost per sandwich?

• $7

• $8.25

• $9

• $6.50