Understanding Piecewise Functions in Truck Rental Costs

The video tutorial explains how a truck rental company's pricing is structured based on miles driven. It introduces the concept of a piecewise function to model the cost, with two distinct rules: a variable rate for up to 50 miles and a flat rate for over 50 miles. The tutorial covers the definition of piecewise functions, their domains, and how to graphically represent the cost function. The video aims to help viewers understand how to apply piecewise functions to real-world scenarios.

What is the cost per mile for driving up to 50 miles with the truck rental company?

• $3 per mile

• $2 per mile

• $1 per mile

• $4 per mile

What is a piecewise function?

• A function that only applies to linear equations

• A function with a single formula

• A function with multiple formulas for different domains

• A function that does not have a domain

How is the cost calculated if more than 50 miles are driven?

• By using a different per-mile rate

• By adding a surcharge to the per-mile cost

• By applying a flat rate of $100

• By multiplying the miles by $2

What is the formula for the cost when the number of miles driven is between 0 and 50?

• C(m) = 5m

• C(m) = 4m

• C(m) = 2m

• C(m) = 3m

What does the graph of the piecewise function illustrate?

• A constant function

• A quadratic function

• Two distinct parts based on different mileage rules

• A single linear function

At what mileage does the cost switch from a per-mile rate to a flat rate?

• 70 miles

• 60 miles

• 50 miles

• 40 miles

What is the cost if exactly 50 miles are driven?

• $50

• $75

• $100

• $200