Linear Functions and Rental Costs

This video tutorial covers grade 8 module 6 on linear functions, focusing on modeling linear relationships. It explains how linear functions can represent relationships between quantities, with the graph being a straight line. The lesson details constructing a linear function using a rate of change and initial value, interpreted as the slope and y-intercept of a line. The exit ticket involves modeling rental costs for mid-sized and compact cars, using linear functions to determine total costs based on days rented, administrative fees, and daily rates.

What is a key characteristic of the graph of a linear function?

• It is a zigzag line.

• It is a straight line.

• It is a curved line.

• It is a dotted line.

What does the slope of a line in a linear function represent?

• The midpoint of the line.

• The maximum value of the function.

• The rate of change between two quantities.

• The initial value of the function.

In the context of the rental car problem, what does 'x' represent?

• The total cost in dollars.

• The number of days the car is rented.

• The administrative fee.

• The type of car rented.

How is the total cost of renting a mid-sized car calculated?

• By multiplying the number of days by the administrative fee.

• By dividing the total cost by the number of days.

• By adding the administrative fee to the product of the price per day and the number of days.

• By subtracting the administrative fee from the total number of days.

What is the administrative fee for renting a mid-sized car?

• $35

• $15

• $50

• $30

What is the rental cost per day for a mid-sized car?

• $50

• $15

• $35

• $30

What is the fixed administrative fee for renting a compact car?

• $15

• $50

• $30

• $35

What is the rental cost per day for a compact car?

• $30

• $35

• $15

• $50

Which of the following represents the linear function for the total cost of renting a compact car?

• y = 30x + 15

• y = 15x + 30

• y = 50x + 15

• y = 35x + 30

In the function y = 30x + 15, what does the number 15 represent?

• The rental cost per day.

• The number of days rented.

• The total cost for one day.

• The fixed administrative fee.