Understanding Linear Functions and Relationships

The video covers linear functions, proportional relationships, and graph analysis. It explores how to interpret graphs, write equations, and understand the relationship between independent and dependent variables. The lesson includes practical examples like Jada's earnings and tank water levels, and compares savings rates using graphs. The session concludes with a summary and homework discussion.

What is the main topic discussed in the introduction of the lesson?

• Quadratic functions

• Linear functions

• Exponential functions

• Polynomial functions

In Jada's lawn mowing example, what is the independent variable?

• Number of lawns mowed

• Number of neighbors

• Amount of money earned

• Time spent mowing

How do you convert feet to yards in the given example?

• Divide by 3

• Multiply by 3

• Subtract 3

• Add 3

Which tank starts with more water according to the equations provided?

• Tank C

• Tank B

• Tank D

• Tank A

What indicates that a tank is draining in the given equations?

• A positive coefficient with time

• An increasing initial value

• A negative coefficient with time

• A constant value

Who saves money at a faster rate, Noah or Elena?

• Noah

• Elena

• Both save at the same rate

• Neither saves money

How much does Noah save in a year if he doesn't withdraw any money?

• $500

• $260

• $320

• $400

What is the initial value in a linear equation y = mx + b?

• y

• b

• x

• m

In the context of the lesson, what does the slope of a line represent?

• Initial value

• Total distance

• Time taken

• Rate of change

What is the relationship between the lines representing Kieran and Claire's run?

• They have the same slope

• They have different slopes

• They are perpendicular

• They intersect at the origin