Understanding Functions and Graphs

The video covers linear functions, proportional relationships, and graphing. It discusses how to interpret graphs, analyze functions for filling or draining, and compare savings rates. The lesson concludes with a summary and homework on graph interpretation and linear equations.

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

• Polynomial functions

• Exponential functions

• Linear functions

• Quadratic functions

In the example of Jada mowing lawns, what is the independent variable?

• The number of neighbors

• The time spent mowing

• The number of lawns mowed

• The amount of money earned

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

• Subtract 3

• Multiply by 3

• Divide by 3

• Add 3

Which tank starts with more water according to the given functions?

• Tank A

• Tank B

• Tank C

• Tank D

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

• A positive coefficient of T

• A negative coefficient of T

• A constant value

• An increasing function

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

• Both save at the same rate

• Elena

• Noah

• Neither saves money

How much will Noah save in a year if he continues his current saving pattern?

• $500

• $320

• $400

• $260

Which car drives faster according to the graph in the homework section?

• Both cars drive at the same speed

• Neither car is moving

• Car B

• Car A

What is the initial charge for service B in the car service problem?

• $0.30

• $2.00

• $1.10

• $0.40

In the race between Kieran and Claire, what is the main difference in their graphs?

• The color of the lines

• The slope of the lines

• The length of the lines

• The starting points