Ratio Rates and Proportional Reasoning

What is a Ratio?

• Is a comparison of two quantities 

• To multiply two fractions 

• A number over another number

• Two decimals that can be multiplied

If mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas?

• 7

• 9

• 10

• 2

4: 20 is equivalent to 1:5

• Yes

• No

Simplify the ratio 25:30

• 10:15

• 8:9

• 5:6

• 6:5

There are 8 teacher and 40 students going on a field trip. If 20 more students decided to go on the field trip, then how many more teachers must go to keep it proportional?

• 5 more teachers

• 4 more teachers

• 2 more teachers

• none

There are 8 teacher and 40 students going on a field trip. If 20 more students decided to go on the field trip, then how many more teachers must go to keep it proportional?

• 5 more teachers

• 4 more teachers

• 2 more teachers

• none

Pencils are $4.00  for 10 pencils.  If the car shown is speeding to bring you a pencil for math class, what is the cost per pencil or the unit rate?   What is the cost for 5 pencils?
Make a ratio table or a proportion to find the answers.

• $0.40 per pencil; $2.00 for five pencils

• $3.24 per pencil; $5.00 for five pencils

• $1.00 per pencil; $5.00 for five pencils

• $1.44 pencil; $5.88 for five pencils

A car travels 288 miles in 6 hours. At that rate, how many miles will it travel in 8 hours?

• 216

• 360

• 368

• 376

• 384

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?

Mathematical Equivalence

ON

A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour period?

Mathematical Equivalence

ON