Proportional
Relationships
Relationships
A cook uses 1 3/4 teaspoons of salt to make 3 1/2 pounds of pasta. What is the unit rate, in teaspoons per pound, at which the cook uses salt to make pasta?
1/2
A company manufactures water bottles. The list below describes the number of water bottles manufactured in three months.
February: 4,100 water bottles
March: 7% more water bottles than in February
April: 500 more water bottles than in March
What is the percent increase, to the nearest percent, in the number of water bottles the company manufactured from February to April?
19%
What is the value of the expression below?
−36 ÷ 9 + 3(−7) + 2
-23
Which expression is equivalent to the expression shown below? 2 + 3(2x + 5)
A 7 + 6x B 17 + 2x
C 17 + 6x D 25 + 10x
c 17 + 6x
Based on a weather report, the probability that it will rain tomorrow is 0.13. Which word describes the likelihood that it will rain tomorrow?
A certain B impossible
C likely D unlikely
D unlikely
The table below shows a proportional relationship between x and y. What is the constant of proportionality for the relationship between x and y?
y 0.750 1.875 4.500 10.125
x 0.50 1.25 3.00 6.75
1.50
The members of a school club are selling tickets for a fundraiser. The goal for the fundraiser is to earn $50.00 each day from ticket sales. The list below shows the percent of the goal reached each day.
On the first day, the members earned 90% of their daily goal.
On the second day, the members earned 6% more than their daily goal.
On the third day, the members earned 14% less than their daily goal.
How much money, in dollars, did the members earn from ticket sales on all three days?
141
What is the value of
12.5 − (31/2) + (1 1/4)
in fraction form?
-7/4
The equation y = 4.3x can be used to determine the total cost, y, in dollars, of x pounds of apples. What does the number 4.3 represent in the equation?
A the number of apples in 1 pound
B the number of apples in x pounds
C the cost of 1 pound of apples
D the cost of x pounds of apples
C the cost of 1 pound of apples
The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79, 73, 72, 70, 72, 66, 81, 75
What is the median daily high temperature, in degrees Fahrenheit, in the city.
72.5
A machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate, in pounds per hour, does the machine make nails?
1 1/2
Mr. Jensen purchased an airline ticket on a web site. The original price of the airline ticket was $473.00. He used a coupon code to receive a 20% discount. A sales tax of 12% was applied after the discount. What was the total purchase price of the airline ticket after the discount, including sales tax?
$423.81
At sunset, a thermometer had a reading of 4°F. During the night, the temperature decreased 15°F. After the decrease, what is the total number of degrees that the temperature must change for the thermometer to read 0°F ?
11°F
Which expression is equivalent to
−3(2x − 8) + 4x ?
A −2x − 8 B −2x + 24
C −10x − 8 D −10x + 24
B −2x + 24
The menu at an ice cream store is shown below.
Sizes: Small, Medium, Large
Flavors: Vanilla, Chocolate, Strawberry
Topping: Dip, Sprinkles, Crunch Coat
How many different choices of one size, one flavor, and one topping can be made from the menu?
27
On a map, two cities are 2.8 inches apart. The map has a scale of 1 inch to 25 miles. How far apart, in inches, would the same two cities be on a map that has a scale of 1 inch to 40 miles?
1.75 inches
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of chili were sold?
54
A cook removes a package of food from a freezer and begins to defrost the package. The initial temperature of the package of food is -15. At noon, the temperature of the package of food has increased to 35. What is the total change in temperature, in degrees Fahrenheit, for the package of food?
50
Ms. Boi spent a total of $175 for 4 admission tickets and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of parking was $25. Write an equation that can be used to determine t, the cost, in dollars, of each admission ticket, including tax.
4t + 25 = 175
The expression 48y - 16 represents the perimeter, in feet, of a square. Which expression represents the length, in feet, of each side of the square?
a 12y - 4 b 12y - 16
c 24y - 8 d 48y - 4
a 12y - 4
A gardener uses a total of 61.5 gallons of gasoline in one month. Of the total amount of gasoline, 3/5 was used in his lawn mowers. How many gallons of gasoline did the gardener use in his lawn mowers in the one month?
36.9
Two stores each advertise a discount on the same type of watch. At both stores, the original price of the watch was $35.00.
Store A discounts the price of the watch by 20%.
Store B discounts the price of the watch by 15%.
How much less is the discounted price of the watch at Store A than the discounted price of the watch at Store B ?
$1.75
Marcy is buying prizes to give away at a fundraiser.
She has $250.00 to spend.
She buys 13 movie passes for $9.50 each.
She buys 3 gift cards valued at $25.00 each.
She will use the rest of the money to buy candy bars that cost $1.75 each.
What is the greatest number of candy bars she can buy with the rest of the money?
29 candy bars
A coach compared the heights of the players on two different teams. The data set is shown in the table below.
Team A: 76, 68, 73, 65, 60, 63, 69, 76
Team B: 63, 73, 64, 70, 70, 67, 75, 62
A Mean height of Team B is greater than the mean height of A
B Mean height of Team A is greater that the mean height of B
C Median height of Team B is greater than median height of A
D Median height of Team A is greater than median height of B
Mean height of Team A is greater that the mean height of Team B