Proportional Relationships

This graph shows a proportional relationship between the number of gallons of gasoline used (g) and the total cost of gasoline (c).

Find the constant of proportionality. Write an equation.

• $y=5x$

• $y=0.3x$

• $y=3.3x$

• $y=3x$

A right triangle has legs measuring 4.5 meters and 1.5 meters.

The lengths of the legs of a second triangle are proportional to the lengths of the legs of the first triangle.

Which could be the lengths of the legs of the second triangle? Select all that apply

• 6 meters and 2 meters

• 8 meters and 5 meters

• 11.25 meters and 3.75 meters

• 10 meters and 2.5 meters

A teapot is  $\frac{1}{3}$  full of tea. When all of the tea is poured into an empty container, the container is  $\frac{2}{3}$  full.


What fraction of the tea from a full teapot is needed to fill 1 entire container?

•  $\frac{1}{2}$  

• 2

•  $6\ \frac{1}{3}$  

• 1

George is building a fence. He builds his fence at a constant rate of  $\frac{1}{3}$  section of fence every  $\frac{1}{2}$   hour. At this rate, what fraction represents the section of fence George can build per hour? Express your answer as a fraction.

•  $1\ \frac{1}{2}$  

•  $\frac{2}{3}$  

•  $\frac{1}{5}$  

•  $\frac{5}{6}$  

A drawbridge rises at a constant rate. It takes   $1\ \frac{1}{2}$ minutes for the drawbridge to rise  $\frac{6}{20}$  of its total height.

 How much time, in minutes, does it take for the drawbridge to reach its total height?

•  $\frac{1}{5}$  

•  $\frac{9}{20}$  

•  $\frac{20}{9}$  

• 5

Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint.
Which equation can you use to find the amount of blue pain when the amount of yellow paint is known?
 $b=\ blue\ paint\$   $y=yellow\ paint\$  

•  $b=\frac{4}{3}y$  

•  $b=\frac{3}{4}y$  

•  $y=0.75b\$  

•  $y=\frac{4}{3}b$  

Roberto is making cakes. The number of cups of flour he uses is proportional to the number of cakes he makes.

Roberto uses $22\ \frac{1}{2}$ cups of flour to make 10 cakes.

Which equation represents the relationship between f, the number of cups of flour Roberto uses, and c, the number of cakes he makes?

• $f=\frac{4}{9}c$

• $f=\frac{9}{4}c$

• $f=2.5c$

• $f=10c$

The graph shows the amount of protein contained in a certain brand of peanut butter.

Which statement describes the meaning of the point (6,30) on the graph?

• There are 6 grams of protein per tablespoon of peanut butter.

• There are 30 grams of protein per tablespoon of peanut butter.

• There are 6 grams of protein in 30 tablespoons of peanut butter.

• There are 30 grams of protein in 6 tablespoons of peanut butter.

Sarah sold flowered headbands at a festival to earn extra money. The

graph below represents her earnings.

Which information does point A represent?

• Sarah earned $0.25 for each headband she sold.

• Sarah earned $0.25 for each headband she sold.

• Sarah earned $100 by selling 300 headbands.

• Sarah earned $300 by selling 100 headbands.

Amelia works for 6 hours and earns $48. The graph shows the relationship between the number of hours Amelia works, x, and the total amount she earns, y.

Which point represents the number of dollars Amelia makes per hour?

• (1,6)

• (1,8)

• (2,16)

• (6, 48)