Linear Equations and Word Problems

The video tutorial explains how to convert word problems into linear equations and solve them. It covers examples like sales commissions, event center charges, scooter rentals, and gym memberships. The tutorial also demonstrates how to interpret data from tables and graphs, emphasizing the importance of understanding x and y values in different contexts.

What is the first step in converting a word problem into a linear equation?

• Check the solution

• Identify the variables and constants

• Solve the equation

• Graph the equation

In the salesperson example, what does the y-intercept represent?

• The total earnings

• The commission per system sold

• The base monthly salary

• The number of air conditioning systems sold

How much does the salesperson earn if they sell 5 air conditioning systems?

• $50

• $3,450

• $3,200

• $250

What is the equation used to calculate the event center charges?

• f(x) = 250x + 850

• f(x) = 850x + 250

• f(x) = 850 + 250x

• f(x) = 250 + 850x

If 5 people attend the event, what is the total charge?

• $250

• $42.50

• $850

• $292.50

In the scooter rental example, what does the slope represent?

• The total cost

• The number of hours

• The hourly rate

• The initial fee

How much does it cost to rent the scooter for half a day?

• $70

• $60

• $5

• $10

What is the equation for the gym membership cost?

• y = 29 + 10x

• y = 10 + 29x

• y = 29x + 10

• y = 10x + 29

How much would you pay for a year of gym membership?

• $10

• $29

• $149

• $120

In the pizza toppings example, what does c(0) represent?

• Cost of 6 toppings

• Cost of 2 toppings

• Cost of 0 toppings

• Cost of 4 toppings