Proportions and Rates Review

After 3/4 of a minute a sloth has moved just 3/8 of a foot. What is the sloth’s speed in feet per minute?

• 2  ft./min.

• 9/24  ft./min.

• 24/12  ft./min.

• 1/2  ft./min.

In this picture, what is the ratio of boys (numerator) to girls (denominator)?

Answer explanation

A ratio MUST be written the way it is given. In the picture, the boys are on top in the fraction. They are the numerator, so they MUST be the numerator as well in the ratio $\frac{6}{4}$

Two or more ratios that are equivalent are...

• triplets

• unit rates

• proportions

• pi

What are the missing values in this ratio table?

• 4 peach trees, 14 apple trees

• 10 peach trees, 10 apple trees

• 16 peach trees, 8 apple trees

• 14 peach trees, 4 apple trees

A car gets 25 miles to 1 gallon of gas. Which of the following choices will solve the question "How many feet will the car travel on one gallon of gas?" Remember, 5280 feet = 1 mile.

• 1 gallon of gas X 5280 feet

Answer explanation

Remember to "cancel" the like units in the numerator and denominator. In this problem, cancel the 25 miles in the numerator with the 1 mile in the denominator.

This car get 34 miles per gallon. How many feet will the car travel on one gallon of gas? Remember what you had to do in #5.

True or False: A unit rate compares a quantity to one.

• True

• False

Answer explanation

Yes, it does, like miles per 1 gallon, or cost per 1 item.

Flying unicorns are on sale for $350 for a box of 5. What is the unit cost for one flying unicorn?

• $350/1

• $70/1

• $500/1

• $250/1

Answer explanation

I don't care where you are--that's a GREAT deal.

Olivia drove 85 miles on 2 gallons of gas. Which of the following can be used to show how many miles she can go with 5 gallons of gas?

• (85 x 2) ÷ 5

Answer explanation

In this problem, the gallons are the denominator in the proportion. Remember, you always should always set up the "word proportion" first, like this  $\frac{miles}{gallons}$  

True or False: A ratio is a comparison of two quantities.

• True

• False

Answer explanation

...like apples to oranges, blue marbles to green marbles, boys to girls