Exploring Real World Applications of Linear Functions

The video tutorial covers linear functions, focusing on real-world applications such as calories burned during jogging and earnings from work. It explains how to write a linear function using a table, interpret the slope and y-intercept, and graph the function. The tutorial also compares two earnings functions, highlighting differences in hourly wages and graphing both functions to interpret their real-world implications.

What is the formula for a linear function?

• y = mx + b

• y = mx^2 + b

• y = bx + m

• y = m/bx

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How do you calculate the slope in a linear function?

• (x2 - x1) / (y2 - y1)

• y2 - y1 + x2 - x1

• x2 - x1 + y2 - y1

• (y2 - y1) / (x2 - x1)

Tags

CCSS.8.EE.B.5

What does the slope represent in the context of calories burned while jogging?

• Calories burned per hour

• Hours spent jogging

• Total calories burned

• Jogging speed

Tags

CCSS.8.EE.B.5

What does the y-intercept represent in the context of the jogging scenario?

• Calories burned at 0 hours

• Total hours jogged

• Total calories burned

• Calories burned per hour

Tags

CCSS.HSF.LE.B.5

How many calories are burned in 150 minutes of jogging?

• 1000 calories

• 750 calories

• 600 calories

• 900 calories

Tags

CCSS.HSF-LE.A.1B

What is your hourly wage according to the function y = 6x + 12?

• $12 per hour

• $18 per hour

• $24 per hour

• $6 per hour

Tags

CCSS.HSF.LE.B.5

What is the slope of your friend's earnings function?

• $3 per hour

• $12 per hour

• $6 per hour

• $9 per hour

Tags

CCSS.8.EE.B.5

Who has a higher hourly wage?

• Your friend

• Cannot be determined

• You

• Both earn the same

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What does the y-intercept represent in your earnings function?

• $12 for showing up

• Earnings per hour

• Hours worked

• Total earnings

Tags

CCSS.8.EE.B.5

At how many hours do you and your friend earn the same amount?

• 6 hours

• 5 hours

• 3 hours

• 4 hours

Tags

CCSS.8.EE.C.8C