Rates and Proportionality Study Guide

A machine paints 340 toy boats in 45 minutes. Which expression equals the rate per hour?

• 0.75/340

• 340/0.75

• 45/340

• 340/45

Luis rides his bicycle ³/₄ mile in 10 minutes, or ¹/₆ hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.

• 4.5 miles per hour
• 60 miles per hour
• 6 miles per hour
• 7.5 miles per hour

Tags

CCSS.7.RP.A.1

Kelly is knitting a scarf for her brother. It took her 5 hours to knit 10 foot of the scarf. How fast is Kelly knitting, in feet per hour?

• 2
• .5
• ²/₁₀

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Does this graph represent a proportional relationship?

• Yes 
• No

Tags

CCSS.7.RP.A.2D

What are the two rules that make a graph proportional?

• Straight Line and goes through the Origin
• Straight Line and is very steep
• Curved Line and goes through the origin
• Passes through the point (1,0) and is a straight line

Tags

CCSS.7.RP.A.2D

What is a unit rate?

• A comparison of two quantities where the second quantity is always 1 unit
• A rate that compares 2 different quantities
• a rate with units 
• a comparison of two quantities where the first quantity is always 1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

The sloth took 5/6 minutes to move 13/5 inches. How many inches per minute is the sloth moving?

• 2 1/6 inches per minute

• 25/78 inches per minute

• 3 3/25 inches per minute

• 13 inches per minute

After 3.5 years the tree grew 13 2/3 feet. How many feet did the tree grow in 1 year?

• 47.8 ft per year

• 0.3 ft per year

• 3.9 ft per year

• 16 ft per year

Gavin was paid $55 for 5 hours of lawn cutting and $82.50 for 7.5 hours. What is the constant of proportionality that describes this relationship?

• 2.5

• 11

• 27.5

• Cannot be determined

The graph shows the number of seed packets to total number of plants grown. What is the unit rate?

• 10 plants for every seed packet

• 20 plants for every seed packet

• 1 plant for every seed packet

• 1 seed packet for every 5 plants