Everyone loves equations
Twelve books cost $52.88 and 21 books cost $104.79. Is there is a constant of proportionality between these purchases?
NO
What is the missing number in the proportion? 5/8 = n/48
What is n=30?
The scale factor for a map is 1 cm. = 210 km. On the map, Boston is 1.5 cm. from New York. How far is Boston from New York?
What is 305 km.?
Which expression is greater?
A. –10.5 + 11
B. 4.25 • (–1.25)
A
Write an equation to represent this proportional relationship.
3.5 gallons (x) for 119 miles (y)
y=34x
5 buckets of sand are mixed with 4 buckets of gravel to make cement. How many buckets of gravel are needed for 45 buckets of sand?
What is 36?
Jack drew a model of an airplane with a wing of 5.8 in. He used a scale of 1.5 inch = 9 feet. Find the actual length of the wing.
What is 34.8 ft.?
Water evaporates from a pond at a rate of 0.52 inches per hour. What is the change in inches in the water level of the pond after 24 hours? Write this change as an integer.
-12.48
Is this relationship proportional? If so write an equation.
Number of Shirts (x)
4 16 22
Price (y)
$3.96 $15.84 $21.78
YES
y=0.99x
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
What is 250?
In a picture, a giraffe measures 12 in. tall. The scale is 1.2 in. = 9 ft. Find the actual height of the giraffe.
What is 90 ft.? (Largest Giraffe in the WORLD!)
Ellie bought a 25-pound bag for $15.59. If the relationship is proportional. Can you find the price of a 40-pound bag?
$24.80
A farm processes 8,000 gallons of milk every 2 hours. This relationship is proportional. Write an equation represents the amount of milk, y, that the farm processes in x hours?
y=4000x
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?
Six cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. This relationship is an example of a proportional relationship. What is the constant of proportionality?
k=7.7
A family drives 4 1/2 miles in 1/10 of an hour. What is their rate of speed in miles per hour?
45 miles per hour
Write an equation to represent this proportional relationship.
153 miles (y) in 4.25 hours (x)
y=36x
What is the missing number in the proportion: 6/8 = n/20
What is 15?
On Bertha's map, the distance from her office to her house measures 3.5 in. The map scale is 1 in. = 16 mi. If Bertha drives back and forth, how many total miles will her round trip be?
What is 112 miles?
Each year, the students in seventh grade go to an environmental camp. This year, the total cost is $869 for 79 students. This is a proportional relationship. Which equation represents the cost, y, of attending the camp for x number of students?
y=kx
y=11x