WorksheetsRelationships Between Variables
Total questions: 20
Worksheet time: 20mins
Mr. Ramierz is filling his swimming pool with water. The table shows the number of gallons of water w in the swimming pool after t minutes. If the pattern in the table continues, how many gallons of water w will be in the pool after 10 minutes?
6 gallons
69 gallons
600 gallons
2,400 gallons
The table shows the number of people n seated in each section of the gym depending on the total number of people p in the gym. Which equation could be used to find the number of people n that are seated in each section of the gym?
n = 3p
n = p ÷ 3
n = p - 6
n = p - 12
How many people n would be seated in each section if there were 27 total people in the gym?
7
8
9
10
The graph represents x, the number of weeks Paul has been losing weight and y, the total pounds lost. Which equation best represents the relationship between x and y?
y=x+2
x=3y
x=y+2
y=3x
Melinda and Paul ran a marathon. Melinda runs at a constant speed of 5 miles per hour. Select from the drop to correctly complete the sentence. An equation that could represent the relationship between Paul's distance and his time is y = (a) x
1
7
3
5
In the table shown here, Mr. Fuete wrote the regualr price and the sale price of the rings he sells. Which equation represents the relationship between the regular price and the sale price of the rings Mr. Fuente sells? (a)
y=0.75x
y=x−3.75
y=x÷0.5
y=x+6
What equation represents the relationship found between the calories and the pieces of candy?
The table shows the total charges c for an overdue library book after d days. If the pattern in the table continues, what is the total charge c for an overdue library book after 12 days?
$0.40
$0.64
$0.88
$0.96
For what number of days d will the total charges for an overdue library book be $2.40?
30
24
8
5
The linear equation y = 5x represents the cost y in dollars of x pounds of dog food. Which ordered pair lies on the graph of the equation?
(3,15)
(3,10)
(2,3)
(2,12)
Brilee drives at a rate of 60 miles per hour. She lets x represent the time in hours and y represent the number of miles driven. Which ordered pair is a point on the graph of the relationship?
(60,1)
(4, 240)
(3, 120)
(2, 60
(2, 60)
Meg wants to rent a bike. Bike rental costs $1.25 per hour plus a one-time fee of $3. Which equation represents the relationship between the number of hours h Meg rents the bike and the total cost c?
h = 1.25c + 3
c = 1.25h + 3
h = 3c + 1.25
c = 3h + 1.25
DVDs cost $15 each. Porter graphs the relationship that gives the cost y in dollars of buying x DVDs. Which ordered pair is a point on the graph of the relationship?
(0,15)
(2,3)
(3,45)
(15,3)
The linear equation y = 10x represents the total number of points y scored on a quiz if x questions are correct. Which ordered pair lies on the graph of the equation?
(10,1)
(7,70)
(5,2)
(4,15)
Kady purchases a gallon of milk for $3 and some tomatoes for $2 per pound from the grocery store. Which equation represents the relationship between the number of pounds
p
of tomatoes purchased and the total amounta
Kady spent at the grocery store?p = 3a + p
a = 3p + 2
p = 2a + 3
a = 2p + 3
Posters cost $7 each. Adrian graphs the relationship that gives the cost y in dollars of buying x posters. Which ordered pair is a point on the graph of the relationship?
(3,10)
(5, 15)
(8, 52)
(9, 63)
What is the total cost y of bowling 3 games?
$7.50
$6.50
$5.00
$4.50
Stan reads 3 books each month. Which ordered pair is a point on the graph that shows the relationship between the total number of books y Stan reads in x months?
(9,3)
(5, 15)
(4, 7)
(3, 1)
The table shows the amount of flour x that Megan uses for y dozen cookies. If the pattern in the table continues, how many cups of flour x does Megan use for 20 dozen cookies?
6 cups
7 cups
17 cups
24 cups
A car wash charges $10 for a regular wash. A graph shows the relationship that gives the amount earned y at the car wash from x regular washes. Which set of ordered pairs lies on the graph of the relationship?
(0,10), (2, 5), (10, 1), (20, 2)
(1,9), (2,8), (3, 7), (4, 6)
(1,11), (2, 12), (3, 13), (4, 14)
(1,10), (2, 20), (4, 40), (5, 50)
