unit 7 rates and ratios test review

The equation y = 7.6x represents a proportional relationship. What is the constant of proportionality?

• 1

• 7.6

• x

• y

The tables show the numbers of green and purple beads Mia and Riley used to make 5 different decorative picture frames.

Are the numbers of green and purple beads in Mia’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g.

• yes, it is proportional. The equation is p=7/2 g

• yes. It is proportional. the equation is p =2/7g

• Yes, it is proporitonal. The equation is g=7/2

• no. it is not proportional

The tables show the numbers of green and purple beads Mia and Riley used to make 5 different decorative picture frames.

Are the numbers of green and purple beads in Riley’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g.

• yes it is proportional. the equation is p=8/5p

• yes it is proportional. the equation is g=8/5p

• yes it is proportional. the equation is p=5/8g

• no it is not proportional. the equation is p=g+3

The graph shows how many sheets of paper a paper-folding machine can fold in a certain number of minutes.

What is the constant of proportionality, and what does it mean in this situation?

• 150; the machine folds 150 sheets in 1 minute

• 1/150; the machine folds 1 sheet in 150 minute

The graph shows how many sheets of paper a paper-folding machine can fold in a certain number of minutes.

Choose one ordered pair on the graph. What does it represent in this situation?

• (40, 6,000); the machine folds 6,000 sheets in 40 minutes

• (6,000, 40) the machine folds 6,0000 sheets in 40 minutes

• (3,000,15) the machine folds 3000 sheets in 15 minutes

• (15, 3000) the machine folds 3000 sheets in 15 minutes

Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour?

• $\frac{3}{32\ }miles\ per\ hour$

• $\frac{2}{3}\ mile\ per\ hour$

• $1\ \frac{1}{2}\ miles\ per\ hour$

• $4\ miles\ per\ hour$

Rachel used 4.5 cups of apple juice

in a holiday fruit punch that serves

12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art’s holiday fruit punch?

• 0.05 cup

• 0.1 cup

• 0.375 cup

• 0.475 cup

The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes. The number of gallons, g, is proportional to the number of minutes, m, that the pump operates. Select all the equations that represent the relationship between g and m.

•  $m=\frac{1}{55.5}g$  

•  $g=55.5m$  

•  $g=0.02m$  

•  $g=\frac{166.5}{3}m$  

•  $m=55.5g$  

A grocery store manager uses 1/2 crate of apples for every 3/4 crate of oranges in a fruit display. How many crates of oranges will she need if she uses 2 1/2 crates of apples?

• $3\ \frac{3}{4}\ crates\ of\ oranges$

• 3 crates of oranges

• $2\ \frac{1}{2\ }\ crates\ of\ oranges$

• 1/2 crates of oranges

At the local bookstore, Jim bought

2 paperback books for $13.00. Maria bought 5 paperback books for $32.50. Tanya bought

7 paperback books for $45.50.

Do the number of books and the cost have a proportional relationship? Explain.

• no it is not proportional. it does not go through the origin

• no it is not proportional. it is not a straight line

• no it is not proportional. it does not go through the origin and it is not a straight line

• yes it is proportional. it is a straight line that passes through the origin