Comparing Linear Functions in Word Problems

The video tutorial explains a wall climbing race between Nick and Alyssa. Alyssa's height is given by a linear equation, while Nick's height is analyzed using a table and backward calculation. The tutorial derives Nick's height equation and compares their starting positions, concluding that Alyssa started higher. The video demonstrates how to use linear equations and tables to analyze and compare constant speed scenarios.

What is the equation for Alyssa's height on the wall?

• a = 1/2 t + 5

• a = 1/3 t + 5

• a = 1/4 t + 5

• a = 1/3 t + 4

At what height did Alyssa start the race?

• 5 feet

• 6 feet

• 3 feet

• 4 feet

What is Nick's height at 6 seconds?

• 8 feet

• 7 feet

• 6 feet

• 5 feet

How much does Nick's height increase every 2 seconds?

• 1 foot

• 2 feet

• 4 feet

• 3 feet

What is Nick's height at time equals 0?

• 4 feet

• 2 feet

• 5 feet

• 3 feet

What is the slope of Nick's height equation?

• 1

• 1/2

• 1/4

• 1/3

What is the equation for Nick's height as a function of time?

• n = 1/4 t + 4

• n = 1/2 t + 3

• n = 1/3 t + 3

• n = 1/2 t + 2

What is Nick's height at 10 seconds?

• 6 feet

• 7 feet

• 8 feet

• 9 feet

What is the initial position of Nick?

• 5 feet

• 4 feet

• 3 feet

• 2 feet

Who started out higher, Alyssa or Nick?

• Both started at the same height

• Nick

• Cannot be determined

• Alyssa