Constant of Proportionality
If y=3x, what is the constant of proportionality between x and y?
3
The total cost of 100 pencils purchased at a constant rate is $39.00. What is the unit price?
$0.39
If p varies proportionality to s, and p=10 when s=2, what equation correctly models the relationship?
p=5s
If the ratio of the length of a rectangle to its width is 3 to 2, what is the length of a rectangle whose width is 4 inches?
6 inches
Convert 7/8 to a decimal.
0.875
What is the constant of proportionality in the following equation? B=1.25C
1.25
Jim ran four-fifths of a mile and dropped out of the 1600 meter race. His pace was 12 miles an hour until the point he dropped out of the race. How many minutes did he run?
4 minutes
When x=6, y=4. If y is proportional to x, what is the value for y when x=9?
6
The table shows two variables in a proportional relationship:
a 2 3 6
b 6 9 18
What algebraic statement (equation) shows the relationship between a and b?
a= 1/3 b
b=3a
Rational numbers.... (2 answers)
If 3 packs of pens contain 36 pens, and 5 packs contain 60 pens, what is the constant of proportionality?
12
A construction worker was covering the bathroom wall with tiles. He covered three-fifths of the wall with 50 tiles. How many tiles will it take to cover the entire wall?
83 and one-third tiles
If Julie bought her prom dress on sale at 15% off and paid $110.49 before tax, find the original price of her dress.
$129.99
Ricky's family wants to invite his classroom to a "get acquainted" party. If 20 students attend the party then it costs $100. Assuming the relationships between cost and guests is proportional, what will be the cost if 29 students attend?
$145
Which property is illustrated in the following statement?
(5)(4)(7)= (7)(5)(4)
Commutative Property of Multiplication
If x and y is proportional, and the constant of proportionality is 16, which of the following is possible values for x and y?
a. x=6, y=96 b. x=96, y=6
c. x=9, y=90 d. x=144, y=9
One third of a quart of paint covers one fourth of a basketball court. How much paint does it take to cover the entire court?
one and one-third quarts
At one particular store, the sale price, s, is always 75% of the displayed price, d. What equation correctly shows how to calculate s from d?
s=0.75d
A soccer club is hosting a tournament with 12 teams involved. Each team has a set number of players, and there are a total of 180 players involved in the tournament. What equation represents the proportional relationship between teams, t, and players, p?
p=15t
Ricky purchased shoes for $159.95 and then exchanged them at a buy 1, get 1 half-off sale. The shoes that he purchased on his return trip were $74.99 and $68.99. How much did he receive back from the store after his second transaction? Note: The half-price applies to the cheaper of the pairs.
$50.46
When Georgia buys 3 boxes of peaches, she has 40 pounds more than when she buys 1 box of peaches. How many pounds are in each box?
20
John eats a bowl of cereal for 3 of his 4 meals each day. He finished two gallons of milk in eight days. How much milk does John use for one bowl of cereal? (Assume he only uses the milk for his cereal.)
Jim is shopping for a suit to wear to his friend's wedding. He finds the perfect one on sale at 30% off. If the original price was $250, what will the selling price be after the discount?
$175
You run 9.1 miles in 1.3 hours at a steady rate. Write an equation that represents the proportional relationship between the x hours you run and the distance y in miles that you travel.
y=7x
Sammy is mowing the lawn. The lawn is 30 ft by 20 ft. Sammy cut a strip 5 ft by 10 ft and ran out of gas. How much more does he need to mow? (Answer in square feet)
550 sq feet.