Proportion Applications

Daniel downloaded 375 songs. If 24% of the songs were free, then how many songs did Daniel download for free?

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?

Martin's class has 28 students in it. 25% of those students are home sick today. How many students are in school?

There are 35 boys out for football. This is about 5% of the total enrollment. How many total kids are in the school?

The table shows a proportional relationship between y and x. What is the unit rate of y to x?

Look at the graph. Does the graph represent a proportional relationship?

• yes

• no

True or false: The table represents a proportional relationship between x and y.

• True

• False

True or false:

A graph representing a proportion must include ordered pairs that form a straight line and pass through (0,0).

• True

• False

Tonya is making a scale model of a monument that is 160 feet tall. If she uses a scale of 4 in = 15 ft, how tall should she make her model?

• 42.6 in

• 42.6 ft

• 40 in

• 40 ft

The scale on a map reads 1/4 in = 50 mi. If the distance between two cites on the map is 2.75 inches, find the actual distance between the cities.

• 550 mi

• 550 in

• 72 mi

• 72 in