Real-World Applications of Ratios and Proportions

This lesson covers using equations to solve real-world problems, including ticket sales and recycling. Students learn to calculate values using proportional relationships and constants. The lesson concludes with a summary and homework instructions.

What happens to the result when you divide a number by a larger divisor?

• The result becomes larger.

• The result becomes smaller.

• The result remains the same.

• The result becomes negative.

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

• $62.20

• $31.10

• $622.00

• $311.00

How much revenue is generated from selling 7,000 tickets at $62.20 each?

• $311,000

• $500,000

• $435,500

• $622,000

What is the unit rate of weight per can if 10 aluminum cans weigh 16 kg?

• 0.016 kg per can

• 16 kg per can

• 0.16 kg per can

• 1.6 kg per can

If a family recycles 2.4 kg of aluminum, how many cans did they recycle?

• 15 cans

• 240 cans

• 24 cans

• 150 cans

What is the equation form for a proportional relationship between two quantities?

• Y = K + X

• Y = K * X

• Y = K - X

• Y = X / K

A car travels at a constant speed of 65 mph. How far does it travel in 1.5 hours?

• 130 miles

• 65 miles

• 32.5 miles

• 97.5 miles

How many bottles are needed to hold 51 fluid ounces if each bottle holds 17 ounces?

• 5 bottles

• 4 bottles

• 2 bottles

• 3 bottles

What is the constant of proportionality if 1 mile equals 1.61 kilometers?

• 0.31

• 1.00

• 0.62

• 1.61

If 16 Canadian coins equal 2 tunies, what is the value of one Canadian coin in terms of tunies?

• 1 tuni

• 1/2 of a tuni

• 1/4 of a tuni

• 1/8 of a tuni