Proportional Reasoning Word Problems

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?

• 16 feet

• 3 feet

• 48 feet

• 9 feet

Find missing side

• 5

• 7

• 9

• 11

• 12/3 = 16/p
• 12/16 = 3/p
• 12 + 16 = 3 + p
• 3/4 = 3/p

Is the table proportional?

• Yes

• No

Which statement about this graph is most true?

• It is proportional.

• The cleaner uses 1 cup of vinegar to every 2 cups of cleaner

• The cleaner uses 2 cups of vinegar for every 4 cups of cleaner

• All of the above.

Which is true about the graph?

• The insurance company pays $30 for every $20 the patient pays, making the slope of the graph ³/₂

• The insurance company pays $10 for every $10 the patient pays, making the slope of the graph 1

• The insurance company pays $30 for every $20 the patient pays, making the slope of the graph ¹/₂

• The insurance company pays $30 for every $10 the patient pays, making the slope of the graph ³/₂

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked

Is this table proportional?

• Yes

• No

What is the constant of proportionality?

• $3

• $4

• $2

• $9