Candle Burning and Shadow Length

The video covers Math 8 Unit 5 Lesson 9 on linear models, focusing on modeling real-life situations with linear functions. It begins with a candle burning example to illustrate linearity and function dependency on time. The lesson progresses to analyzing shadow length as a function of time, discussing its linearity. The recycling data is used to model linear functions, highlighting the importance of choosing appropriate time periods for accurate predictions. The session concludes with solving homework problems related to linear functions, emphasizing the application of mathematical models in real-life scenarios.

What is the initial length of the candle before it starts burning?

• 5.5 inches

• 8 inches

• 10 inches

• 12 inches

How much does the candle's length decrease per hour?

• 4 inches

• 2 inches

• 3 inches

• 1 inch

After 95 minutes, what was the estimated length of the shadow?

• 38.5 cm

• 50 cm

• 26 cm

• 10.5 cm

Is the shadow length a linear function of time?

• No, it is a quadratic function

• Yes, but with some variance

• No, it is not linear

• Yes, it is perfectly linear

For which years is the recycling model accurate?

• 2010-2015

• 1998-2011

• 1991-1995

• 2000-2005

What percentage of the moon's surface is illuminated on the second day?

• 4%

• 8%

• 6%

• 2%

How much does one marble increase the water volume in the cylinder?

• 2 mL

• 1.5 mL

• 1 mL

• 0.5 mL

What is the perimeter of the garden designed by the school?

• 40 ft

• 36 ft

• 28 ft

• 32 ft

What is the relationship between temperature and days in the given city?

• Non-linear, fluctuating

• Constant temperature

• Linear, decreasing by 2°C per day

• Linear, increasing by 2°C per day

What is the width of the garden if the length is 2T more than twice the width?

• 6 ft

• 5 ft

• 4 and 2/3 ft

• 7 ft