Aluminum Recycling and Ticket Pricing

This lesson covers using equations to solve real-world problems, such as concert ticket sales and recycling aluminum cans. It explains how to calculate the price of tickets, the number of tickets needed for a certain revenue, and the value of recycled cans. The lesson also includes writing equations to represent relationships between quantities and provides additional examples to reinforce the concepts.

If a performer wants to make $311,000 from selling 5,000 tickets, what is the price of each ticket?

• $55.00

• $50.00

• $62.20

• $70.00

How much revenue will be generated if 7,000 tickets are sold at the calculated ticket price?

• $435,400

• $500,000

• $450,000

• $400,000

What is the total revenue if 10,000 tickets are sold?

• $650,000

• $600,000

• $620,000

• $622,000

If a family throws away 2.4 kg of aluminum, how many cans did they discard?

• 100 cans

• 150 cans

• 250 cans

• 200 cans

What is the recycled value of 150 aluminum cans?

• $2.10

• $1.50

• $3.00

• $2.50

What equation represents the number of cans (c) given their weight (w)?

• c = 0.14w

• c = 0.16w

• c = 62.5w

• c = 10w

How is the recycled value (r) of cans represented in an equation?

• r = 0.014c

• r = 0.16c

• r = 0.10c

• r = 0.20c

What is the constant of proportionality in the equation d = 65t, where d is distance and t is time?

• 65

• 60

• 50

• 70

How many miles is Denali, the highest mountain peak in North America, if it is 20,310 feet above sea level?

• 3.85 miles

• 4.00 miles

• 3.50 miles

• 4.20 miles

In the context of proportional relationships, what does the constant k represent in the equation y = kx?

• Coefficient

• Constant of proportionality

• Slope

• Variable