Worksheets03/21/25 Slope, Y-Intercept, and Proportional Graphs
Total questions: 15
Worksheet time: 15mins
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds , x, and the height of the balloon in feet, y?
A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurant's new spaghetti sauce. Which graph shows the relationship between y, the number of customers who preferred the new spaghetti sauce, and x, the total number of customers?
A teacher bought sets of books at a cost of $17.95 per set. The teacher also paid a one-time shipping fee of $22. Which table shows the relationship between the total cost of the books and the number of sets of books the teacher bought?
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that have passed, x?
The value of y varies directly with x. When y=75 , x=21 . What is the value of y when x is 241 ?
8483
33721
1632
16843
The cost for electricity varies directly with the amount of kilowatt-hours of electricity used. The cost for using 1,079 kilowatt-hours of electricity was $129.48. What was the cost for using 908 kilowatt-hours of electricity?
$41.52
$153.86
$75.67
$108.96
Which graph shows a proportional relationship between x and y?
The graph shows a relationship between x and y. Which statement is true?
The graph shows a non-proportional relationship because the graph has a negative slope.
The graph shows a non-proportional relationship because the graph does not contain the origin.
The graph shows a proportional relationship because the x and y intercepts both contain 7.
The graph shows a proportional relationship because the graph passes through 3 different quadrants.
The two lines graphed on the coordinate grid represent a system of equations. Which ordered pair is the solution of the system of equations?
(5, 4)
(0, -5)
(8, 3)
(4, 5)
The two lines graphed on the coordinate grid represent a system of equations. What is the x-coordinate of the ordered pair that best represents a solution to both equations?
71
0
5
7
A student traveled a distance of 68 miles in 136 minutes. Which graph has a slope that best represents this rate?
A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph best represents the ratio of orange juice to pineapple juice in this bottle?
Emily sells greeting cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit. Which of these best describes the profit Emily makes from selling these cards?
$7.50 per box
$10.00 per box
$4.00 per 30 boxes
$3.00 per 4 boxes
The table shows the linear relationship between the number of hours Francis worked, x, and the amount of money Francis earned, y. Based on the table, how much did Francis earn per hour?
$17.50 per hour
$14.00 per hour
$35.00 per hour
$24.50 per hour
What are the slope and the y-intercept of the graph of the linear function shown on the grid?
Slope = 4 , y-intercept = −6
Slope = −4 , y-intercept = −1.5
Slope = −41 , y-intercept = −1.5
Slope = 41 , y-intercept = −6
