Compare Quantity Using Unit Rate

You earn $60 for 8 hours work. What is the unit rate ($/hour)?

• $5.00/ 1 hour

• $6.00/ 1 hour

• $7.50/ 1 hour

• $8.50 / 1 hour

Answer explanation

Remember to divide the numerator by the denominator.

To compare two or more unit rates, find the ______ ______ of each.

• unit rate

• first rate

• double rate

• same numerator

A factory can produce hockey pucks at a rate of 1 in 30 seconds. What is the unit rate per minute?

• 2 per minute

• 4 per minute

• 5 per minute

• 6 per minute

Answer explanation

$\frac{1\ puck}{30\ \sec}$ X $\frac{2}{2}$ = $\frac{2\ pucks}{60\ \sec}$ = $\frac{2\ pucks}{1\ \min}$ or 2 per minute

• 4.4

• 5.6

• 6.8

• 7.2

Answer explanation

120 x 15 = 250x  so 1800 = 250x  so  1800/250 = 250x/250 so 7.2 = x

True or False:
100 miles in 2 hours is an example of a unit rate

• True

• False

Answer explanation

A unit rate always has a denominator of ONE!

Samuel, Emma, and Michael went to a candy store. They saw Judy buying 12 candy bars for $13.20. Can you help them figure out how much each candy bar costs?

• $1.20 per candy bar

• $1.00 per candy bar

• $1.10 per candy bar

• $1.30 per candy bar

Imagine Charlotte, Daniel, and David are on a road trip. They notice the speedometer reads 50 miles per hour. This is an example of a ____________________________

• quantity

• mass

• unit rate

• equivalent ratio

Imagine Isla, Abigail, and Mason are on a quest to find a magical artifact. They come across a riddle that says, 'unit rate is a rate in which the unit in the denominator is:

• 0

• 3

• 1

• 2

Evelyn and Aria are having a debate. Evelyn says that rates and unit rates are similar because they both are fractions. Aria, on the other hand, believes they are similar because they both compare two different quantities of information. Ava thinks they are not similar at all. Who do you think is correct?

• Evelyn, because they both are fractions.

• Aria, because they both compare two different quantities of information.

• Ava, because they are not similar at all.

• None of them are correct.

Imagine this: Liam and Noah are at a hotdog eating contest. Suddenly, they notice their friend Zoe in the crowd, cheering them on. Inspired, Liam starts eating at an incredible pace. He manages to gobble down 15 hotdogs in just 3 minutes! Can you figure out the unit rate of hotdogs Liam ate per minute?