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Ratios/Rates
Proportions
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100

The class trip to six flags will cost $5,400 for 300 students. How much is it per student (unit rate)

$18.00 per student

100
What is the missing number in the proportion? 5/8 = n/48
What is n=30?
100

Is this ratio proportionate? 3/5 = 18/30


yes they are proportionate 


100
The scale factor for a map is 1 cm. = 200 km. On the map, Boston is 1.5 cm. from New York. How far is Boston from New York?
What is 300 km.?
100

What is the slope between points  (0,0) and (3,5)

Slope = 5/3

200
Ari can walk 2 miles in 40 min. How long will it take him to walk 5 miles?
What is 100 min.?
200
Five shovels of sand are mixed with 4 shovels of gravel to make cement. How many shovels of gravel are needed for 45 shovels of sand?
What is 36?
200

Two rectangles are proportionate. The length of the larger rectangle is 18 cm. and the width is 6 cm. The length of the smaller rectangle is 12 cm. Find the width of the smaller rectangle.

width is 4 inches

200
Jeff drew a model of an airplane with a wing of 5 in. He used a scale of 1 inch: 5 feet. Find the actual length of the wing.
What is 25 ft.?
200

What is the slope between  (3,2) and (6,10)

Slope = 8/3

300

Paul used 6 black tiles and 18 white tiles for a pattern. What is the ratio of black tiles to white tiles? Simplify your answer.

What is 1:3?

300
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
What is 250?
300

Is the ratio proportionate?   6/7 = 12/13

no they are not proportionate

300
In a picture, a snake measures 4 in. long. The scale is 1 in. = 2 ft. Find the actual length of the snake.
What is 8 ft.?
300

What 2 things makes a graph proportionate? 

A straight line that passes through the Origin (0,0)
400

You can buy 3 bags of chips for $1.08. How much money will 100 bags cost?

100 bags cast $36

400
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates 8 trucks can carry?
What is 320?
400

Are the right triangles proportioned? 


Triangle A : Height of 6 and Base of 12

Triangle B: Height of 24 and Base of 36

No they are proportionate in size

400
Two towns are 20 miles apart. On a map with the scale 1 inch = 40 miles, how many inches apart are the towns?
What is 1/2 in.?
400
What is the slope between (-3,-2) and (4, 6)

slope = 8/7

500

If you can buy 24 eggs for $8.64, what is the unit price?

Unit Price = $0.36

500
What is the missing number in the proportion: 6/8 = n/20
What is 15?
500

Are the right triangles proportioned? 


Triangle A : Height of 3 and Base of 5

Triangle B: Height of 15 and Base of 25

Yes they are proportionate


500

The graph of a proportional relationship passes through the points (10,3) and (20, y)

y = 6
500

What is the slope between (-10, -8) and (-6, -2)

Slope = 3/2