Speed, Distance, and Proportionality Problems

This lesson covers the concept of proportional relationships through unit conversions, including centimeters to meters, hours to minutes, and feet to inches. It also explores speed as a constant of proportionality and includes activities like filling a fish tank at a constant rate. The lesson concludes with practice problems to reinforce understanding.

What is the relationship between centimeters and meters?

• 1 centimeter is 10 meters

• 1 meter is 100 centimeters

• 1 meter is 10 centimeters

• 1 centimeter is 100 meters

How many millimeters are there in 5 centimeters?

• 0.5 millimeters

• 500 millimeters

• 5 millimeters

• 50 millimeters

What is the reciprocal of 1/10 in terms of multiplicative inverses?

• 1/100

• 100

• 1/10

• 10

If a plane travels 550 miles in one hour, what is its speed?

• 50 miles per hour

• 5.5 miles per hour

• 55 miles per hour

• 550 miles per hour

How long does it take to travel 330 miles at a speed of 550 miles per hour?

• 2 hours

• 0.3 hours

• 1 hour

• 0.6 hours

What is the constant of proportionality if a fish tank fills at a rate of 8/5 gallons per minute?

• 1.5

• 5/8

• 8/5

• 1.6

If a bug takes 2/3 of a second to travel 1 centimeter, what is its speed in centimeters per second?

• 1/2

• 2/3

• 3/2

• 1

Noah runs a marathon at a constant speed of 6 miles per hour. How far does he run in 1.5 hours?

• 3 miles

• 12 miles

• 9 miles

• 6 miles

How many meters are there in 0.3 kilometers?

• 3 meters

• 300 meters

• 3000 meters

• 30 meters

Jada and Lynn are comparing inches and feet. If Jada uses a constant proportionality of 12, what is Lynn's constant proportionality?

• 12

• 1/12

• 6

• 1/6