Proportions and Unit Rate

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 3 hours, the unit rate is 60 miles ÷ 3 hours = 20 miles per hour.

Front

If 8 out of 20 homeowners have cable television, what is the ratio of homeowners with cable to total homeowners?

Back

The ratio is 8:20, which simplifies to 2:5.

Front

How do you set up a proportion to solve for an unknown?

Back

Set up a proportion by creating a fraction for each ratio and then cross-multiply to solve for the unknown.

Front

What is the unit rate of gallons used per hour if 75 gallons are used in 6.25 hours?

Back

The unit rate is 12 gallons per hour.

Front

If Hector paid $105 for 6 tickets, how do you find the cost per ticket?

Back

Divide the total cost by the number of tickets: $105 ÷ 6 = $17.50 per ticket.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both the numerator and denominator by the denominator.

Front

What is the unit rate of flashes per second if an LED light flashes 240 times in 2 minutes?

Back

The unit rate is 2 flashes per second.

Front

If Jack digs a hole that is 3 feet deep for every 5 feet of tree height, how deep should he dig for a 17-foot tree?

Back

He should dig 10.2 feet deep.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity ÷ Number of Units.