Rates Ratios and Proportional Reasoning

Jesse is entering a bicycle race for charity. His mother pledges $4.00 for every 2 miles he bikes. If Jesse bikes 17.5 miles, how much will his mother donate?

A switch on a garden sprinkler controls the distance the water sprays. - When the switch is set at the number 3, the water reaches a distance of 2 feet. - When the switch is set at the number 6, the water reaches a distance of 4 feet. At what number should the switch be set to in order to make the water reach a distance of 12 feet?

• 8

• 13

• 14

• 18

At a goal course, a worker placed 216 golf balls equally into 9 buckets. What is the ratio of golf balls to buckets?

• 24:1

• 1:24

• 23:1

• 1:23

Crosby Middle School held a car wash as a fundraiser. Out of the 25 vehicles that were washed, 20 were cars. What percent of the vehicles were TRUCKS?

If two quantities are ______ they have a constant ratio.

• proportional

• rate

• nonproportional

• unit rate

What is a Ratio?

• Is a comparison of two quantities 

• A rate with a denominator of one

• It is when the only factor the numerator and denominator share is a one 

• Two decimals that can be multiplied

• a
• b
• c
• d

Tom is deciding between two cars based upon the gas consumption.  He wants to get the car that gets more miles per gallon.
Car A traveled 90 miles using 5 gallons of gas. Car B traveled 168 miles using 8 gallons of gas. How many mpg does car A get? How many mpg does Car B get? Which car should Tom buy?

• Car A 21 mpg, Car B 18 mpg,  Car B

• Car A 16 mpg, Car B  21 mpg.  Car A

• Car A 18 mpg, Car B 21 mpg, Car A

• Car A 18 mpg, Car B 21 mpg  Car B

Water flows from a faucet at a rate of 5 gallons every 25 seconds. At this rate, how many gallons will flow from the faucet in 45 seconds?

• 9 gallons

• 5 gallons

• 11 gallons

• 40 gallons

Maria can run 1 1⁄2 miles in 15 minutes.  What is her miles per hour rate?

• 10 miles per hour

• 22.5 miles per hour

• 5 miles per hour

• 6 miles per hour