Proportional Relationships study guide

Grace is on a mission to save money every week for a special adventure. The graph shows her total savings over several weeks. Can you figure out the constant of proportionality for this graph?

• 94

• y = 94x

• y = 47x

• y = 188x

Elijah and Emma are on a mission to save money for a fun adventure! How much should Elijah save after 12 weeks, based on the graph?

• $564

• $500

• Not enough information given

Abigail and Avery are planning an epic road trip across the wild landscapes of Alaska. Their trusty map shows that a length of 3 inches represents a distance of 75 miles. How far will they travel if the map shows a length of 6 inches?

• 25 miles

• 37.5 miles

• 150 miles

• 470 miles

Olivia and Kai are planning an epic road trip adventure! They discover that the distance from Portland to Seattle on their map is 8 centimeters. The map scale is 2 cm: 37 ½ mi. Can you help them figure out the actual distance between these two exciting cities?

• 1500 miles

• 2.34 miles

• 234 miles

• 15 miles

Aria is crafting a miniature model of her dream house, and the guest bedroom in the model measures 3 cm by 5 cm. Using a magical scale of ½ cm = 2 ft, can you calculate the actual AREA of the guest bedroom in her dream house?

• 12 square ft

• 20 square ft

• 240 square ft

• 15 square ft

Emma and her friends Michael and Aria are planning an epic road trip adventure! They're using a magical map where the scale is 5 cm = 12 km. If the enchanted highway they plan to take is 12.5 cm long on the map, what is the actual length of this mystical highway?

• 4.8 km

• 10.4 km

• 30 km

• 60 km

Hannah decided to create a magical scale drawing of her enchanted garden using a scale of 1 inch = 10 feet. In her drawing, one mystical side of the garden measures 4 inches. Which proportion can be used to find x, the length of the actual side, in feet?

• 1/10=4/x

• 1/4=x/10

• 4/12x=1/10

• 12x/10=1/4

Sophia is on a road trip and needs to fill up her car with gas. Can you help her understand what the point (1,3) means in the proportional relationship shown below?

• $1 for 3 gallons

• $0.33 per gallon

• $3 per gallon

• $7.50 for 3 gallons

Aria is baking a magical cake that requires a secret ratio of sugar to flour. The magic number is k = 10. If she uses 5 cups of flour, how many cups of sugar does she need to make the cake extra sweet?

• 5

• 2

• 10

• 50

Abigail is designing a treasure map where 1 cm represents 5.6 miles. How many centimeters will she need to draw to show a distance of 22.4 miles on this adventurous map?

• 0.4

• 4

• 10

• 40