Runner's Heart Rate Functions

The video tutorial explains how to track a runner's heart rate during a race using a linear function. It introduces the concept of linear functions, detailing the slope and y-intercept, and applies these to model the heart rate changes over time. The tutorial concludes by deriving the equation y = 10x + 70, where y is the heart rate and x is the time in minutes.

What is the initial heart rate of the runner before the race starts?

• 70 BPM

• 80 BPM

• 60 BPM

• 90 BPM

Which formula is used to express the heart rate as a linear function?

• y = ax^2 + bx + c

• y = a^x

• y = a/x

• y = mx + b

In the context of the runner's heart rate, what does the variable 'x' represent?

• Time in minutes

• Heart rate

• Distance covered

• Calories burned

What is the dependent variable in the runner's heart rate function?

• Heart rate

• Speed

• Time

• Distance

What is the slope of the linear function representing the runner's heart rate?

• 20

• 15

• 10

• 5

How much does the runner's heart rate increase every minute during the race?

• 20 BPM

• 5 BPM

• 10 BPM

• 15 BPM

What is the initial value in the linear function of the runner's heart rate?

• 70

• 80

• 90

• 60

What is the final linear equation for the runner's heart rate?

• y = 15x + 70

• y = 10x + 70

• y = 5x + 70

• y = 20x + 70

If 3 minutes have passed in the race, what is the runner's heart rate?

• 100 BPM

• 120 BPM

• 90 BPM

• 110 BPM

What does the 'b' in the equation y = mx + b represent in this context?

• The initial heart rate

• The slope

• The time in minutes

• The final heart rate