Cost Analysis and Problem Solving

The video tutorial explores problem-solving techniques for linear relationships in two scenarios: pizza delivery and house painting. It highlights four key components: identifying properties, initial values, rate of change, and total cost. The tutorial emphasizes calculating or identifying these components to solve problems efficiently. A table method is introduced to organize information and compare problems, demonstrating how opposite information is provided in each scenario.

What are the four components considered in solving the problems?

• Initial Value, Rate of Change, Cost, Time

• Properties, Cost, Rate of Change, Time

• Properties, Cost, Time, Total

• Properties, Initial Value, Rate of Change, Total

In Problem 1, what is the cost per pizza?

• $11

• $12

• $13

• $10

What is the delivery fee in Problem 1 before any pizzas are delivered?

• $2

• $3

• $5

• $4

In Problem 2, what is the hourly rate for painting?

• $55

• $40

• $45

• $50

What is the upfront cost for supplies in Problem 2?

• $550

• $500

• $450

• $400

How do the two problems differ in terms of information given?

• Both problems require calculation

• Both problems give all information

• Problem 1 requires calculation, Problem 2 gives all information

• Problem 1 gives all information, Problem 2 requires calculation

What is the rate of change in Problem 1?

• Total cost

• Cost per pizza

• Cost per hour

• Initial cost

What is the total cost for 20 hours of work in Problem 2?

• $2,000

• $1,500

• $2,500

• $1,000

What is the purpose of using a table in solving these problems?

• To avoid mistakes

• To make calculations faster

• To organize information efficiently

• To compare different problems

What is the total cost for 50 hours of work in Problem 2?

• $4,000

• $3,000

• $2,500

• $3,500