Graph
The cost of pumpkins is shown in the table. Determine whether the cost of a pumpkin is proportional to the number bought by graphing the relationship on the coordinate plane. Explain.
the relationship shown in the graph is proportional because it is a straight line that passes through the origin
For every three girls taking classes at a martial arts school, there are 4 boys who are taking classes. If there are 236 boys taking classes, predict the number of girls taking classes at the school.
3/4 = x / 236
236 divided by 4 = 59
3/4 x 59/59 = 177/236
177 girls
The area taken up by a book’s title is proportional to how many letters are in the word. What is the constant of proportionality?
3 divided by 1 = 3
the constant is 3
A salt-water tank needs to contain 5 gallons
of water for each 1-inch fish. If Ian has a
30-gallon tank, predict how many inch-long fish he can have.
30 divided by 5 = 6
6 inch fish
What is another name for the fall season?
Autumn
The table shows temperatures in degrees Celsius and their equivalent temperatures in degrees Fahrenheit. Determine whether the temperature in degrees Fahrenheit is proportional to the temperature in degrees Celsius by graphing the relationship on the coordinate plane. Explain.
the relationship shown in the graph is nonproportional because it is a straight line that does not pass through the origin
A grading machine can grade 96 multiple choice tests in 2 minutes. If a teacher has 300 multiple choice tests to grade, predict the number of minutes it will take the machine to grade the tests.
2/96 = x/300
(2/96) = 1/48
300 divided by 48 = 6.25
1/48 x 6.25/6.25 = 6.25 / 300
6.25 minutes
The total cost of avocados is proportional to the total number of avocados purchased. What is the constant of proportionality?
2.5 divided by 2 = 1.25
the constant is 1.25
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. If Ingrid and Tanya start typing at the same time and continue at their respective rates, how many pages will Tanya have typed when Ingrid has typed 11 pages?
3/4.5 = 11/x
11 divided by 3 = 3.67
3/4.5 x 3.67/3.67 = 11/16.5
16.5 pages
Which orange fruit is commonly carved into jack-o'-lanterns?
pumpkin
The total cost of online streaming is proportional to the number of months. What is the constant of proportionality?
30 divided by 2 = 15
$15 dollars per month is the constant
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
6/45 = 10/x
(6/45) = 2/15
10 divided by 2 = 5
2/15 x 5/5 = 10/75
75 pieces
The amount of gasoline a car uses is proportional to the distance a car travels. What is the constant of proportionality?
52 divided by 2 = 26
the constant is 26
For every 6 inches of height, Lashacha has an arm span of about 6.17 inches. If Lashacha is 6 ft 5 in. tall, predict the width of her arm span. (12 inches = 1 foot)
6 x 12 = 72 72 + 5 = 77
77 divided by 6 = 12.83
12.83 x 6.17 = 79.18
79.18 inches or 6ft 7.18 inches
What type of squash is often used to make creamy autumn soups?
Butternut squash.
The amount Javon saves when using a
percent-off coupon is proportional to how much he spends. What is the constant of proportionality?
4 divided by 20 = 0.2
the constant is 0.2
Of the 50 students in the cafeteria, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.
750 divided by 50 = 15
7/50 x 15/15 = 105/750
105 students
SURPRISE YOU GOT A BONUS
50 POINTS
About 2 in every 400 people have an extra rib. If there are 580 people in Antoine’s middle school, predict how many people have an extra rib.
(2/400) = 1/200
580 divided by 200 = 2.9
1/200 x 2.9/2.9 = 2.9/580
about 3 people
Which sweet topping is often added to hot apple cider?
Cinnamon
The cost per slice of pizza is proportional to the number of slices as shown in the graph. What do the points (0, 0) and (1, 2) represent?
the point (0,0) represents a total cost of $0 for 0 slices of pizza
the point (1,2) represents a total cost of $2 for 1 slice of pizza
The wait times for two different rides are shown in the table. If there are 120 people in line for the swings, how long can you expect to wait to ride the ride?
12/75 = x/120
(12/75) = 4/25
120 divided by 25 = 4.8
4/25 x 4.8/4.8 = 19.2 /120
19.2 minutes
Where did Miss.Rainey live for 6 years?
In Gabriela’s class, 2 out of 5 people wear glasses or contacts. Predict how many people wear glasses or contacts in Gabriela’s town if there are 5,855 people.
5855 divided by 5 = 1,171
1171 x 2 = 2342
2,342 people
Which herb is commonly used to season Thanksgiving stuffing?
Sage