Proportions and Ratios

Mr. O’Brien is hang gliding.  He starts on a ridge about 100 feet above ground level.  He jumps off the ridge and takes about 12 seconds to fly 8 feet into a canyon below ground level, where he lands before hiking out.  
Identify the rate of change  and direction of Mr. O’Brien’s elevation during this 12 second interval.

• 9 ft per sec downward
• 9 ft per second upward
• 8 1/3 ft per second downward
• 12.5 ft per second downward

Mr. O’Brien is cliff diving.  He starts about 50 ft above sea level.  In 15 seconds, he dives to 25 ft below sea level.  
Identify the rate of change  and direction of Mr. O’Brien’s elevation during this 15 second interval.

• 3 1/3 feet per second downward
• 1 2/3 feet per second downward
• 5 feet per second downward
• 3 feet per second downward

Mr. O’Brien’s son, Zachary, is collecting rocks at a rate of ⅙ pound per minute.  If he went all day long, at approximately what rate does Zachary collect rocks that day?
(1 day = 24 hours)

• 60 lbs
• 120 lbs
• 240 lbs
• 580 lbs

Students are making cupcakes for a bake sale at a rate of 3/4 pounds per minute.  At approximately what rate could they make cupcakes for the whole day?(1 day = 24 hours)

• 720 cupcakes
• 1080 cupcakes
• 2160 cupcakes
• 300 cupcakes

The table shows a proportional relationship between teaspoons of baking powder and vanilla extract for making waffles.
 Powder | Extract
      2    |     5
        4     |     10
       6      |     16
Enter the number of teaspoons of powder used for one teaspoon of extract.

• 0.6
• 0.2
• 0.4
• 0.5

The table shows a proportional relationship between pounds of ground beef and italian sausage for making spaghetti sauce.
             Beef | Sausage
          3    |     3.6
         6     |     7.2
           9      |     10.8
Enter the number of pounds of beef used for one pound of sausage.

• 1.8
• 1.2
• 0.6
• 0.83...

Mr. O’Brien’s dad and father in law are tiling an outdoor porch.  The dimensions of the porch are shown below.
10 ft x 5.5 ft
If the total cost of the tile was $219.56, what was the cost, in dollars, of the tile per square foot?

• $1.99/ft²
• $2.99/ft²
• $3.99/ft²
• $4.99/ft²

Mr. and Mrs. O’Brien are covering the front window of the house in tint.  The dimensions of the window are shown below.
6ft. x 4 ft.
If the total cost of the tint covering was $123.43, what was the cost, in dollars, of the tint covering per square foot?

• $12.34
• $30.86
• $20.57
• $5.14

In order to repaint his house, Mr. O’Brien ordered 13 cans of paint for a total of $165.82.  Each can cost the same amount.
What equation represents the proportional relationship between y, the total cost of cans, and x, the number of cans?

• 12.76x = y
• 153.82x = y
• 0.08x = y
• 12.75x = y

Mr. O’Brien’s family ordered 3 bento boxes at a Japanese restaurant for $23.87.  Each bento box cost the same amount.
Which equation represents the proportional relationship between y, the total cost of bento boxes, and x, the number of bento boxes?

• 7.95x = y
• 20.87x = y
• 0.125x = y
• 7.96x = y