Unit Rates and Proportional Relationships

The video tutorial by Mrs. Zia covers lesson 8 on representing proportional relationships with equations. It explores how unit rates can be used to write equations relating two proportional variables. Through various examples, such as gas mileage, street artist portraits, birdhouse construction, and produce stand pricing, the lesson demonstrates how to calculate and apply the constant of proportionality. The tutorial emphasizes the importance of understanding proportional relationships and using equations to solve real-world problems.

What is the unit rate if you can drive 224 miles on 8 gallons of gas?

• 26 miles per gallon

• 30 miles per gallon

• 32 miles per gallon

• 28 miles per gallon

If you have half a gallon of gas left, how many miles can you drive?

• 21 miles

• 28 miles

• 14 miles

• 7 miles

Using the equation y = 28x, how far can you travel on 18 gallons of gas?

• 450 miles

• 480 miles

• 540 miles

• 504 miles

How many gallons of gas are needed to travel 750 miles if the unit rate is 28 miles per gallon?

• 25.7 gallons

• 28.5 gallons

• 27.3 gallons

• 26.8 gallons

What is the constant of proportionality if Andrea draws 6 portraits in 4 hours?

• 1.5 portraits per hour

• 2 portraits per hour

• 1 portrait per hour

• 1.25 portraits per hour

If Andrea works for 3 hours, how many portraits can she draw?

• 4.5 portraits

• 5 portraits

• 3 portraits

• 6 portraits

How long will it take Jackson to build 35 birdhouses if he builds at a rate of 7 houses in 5 hours?

• 24.5 hours

• 26 hours

• 25 hours

• 23 hours

What is the equation to calculate the time it takes Jackson to build birdhouses?

• y = 1.4x

• y = 5x

• y = 0.7x

• y = 7x

What is the unit rate for L's produce stand if 6 ears of corn cost $1.50?

• $0.25 per ear

• $0.35 per ear

• $0.30 per ear

• $0.20 per ear

If Barbara's produce stand sells 13 ears of corn for $3.12, what is the equation for the cost?

• y = 0.28x

• y = 0.24x

• y = 0.30x

• y = 0.20x