To graph the proportional relationship y=2x by plotting points, you can choose several values for x and then calculate the corresponding values for y using the equation y=2x.
For example, if you choose x=1, then y=2(1)=2. This gives you the point (1,2).
If you choose x=2, then y=2(2)=4. This gives you the point (2,4).
Repeat this process for a few more values of x to get more points. Once you have several points, plot them on a coordinate plane and connect them with a straight line. This line represents the graph of the proportional relationship y=2x.
Your graph should pass through the origin (0,0) and slope upwards at a constant rate of 2.
How would I graph a the proportional relationship y=2x by plotting points?
5 answers
The proportional relationship between calories and ounces of soda is shown in the graph. how many calories are in 1 ounce?
the graph: 3, 36. 6,72
the graph: 3, 36. 6,72
To find out how many calories are in 1 ounce of soda, we need to determine the rate of change of the proportional relationship between calories and ounces of soda, as shown in the graph.
From the given points on the graph: (3, 36) and (6, 72), we can see that when the number of ounces (x) increases by 3 units, the number of calories (y) also increases by 36 units. This indicates a constant rate of change of 36/3=12 calories per ounce.
Therefore, for every 1 ounce of soda, there are 12 calories.
From the given points on the graph: (3, 36) and (6, 72), we can see that when the number of ounces (x) increases by 3 units, the number of calories (y) also increases by 36 units. This indicates a constant rate of change of 36/3=12 calories per ounce.
Therefore, for every 1 ounce of soda, there are 12 calories.
which employee earns more per hour?
employee one: (2, 25), (4,50)
employee two: (1, 15), (3,45)
employee one: (2, 25), (4,50)
employee two: (1, 15), (3,45)
To determine which employee earns more per hour, we need to calculate the rate of change for each employee based on the given points.
For Employee One:
From the points (2, 25) and (4, 50), the increase in earnings is 50 - 25 = 25 units when the number of hours worked increases by 4 - 2 = 2 hours.
The rate of change for Employee One is 25 / 2 = 12.5 units per hour.
For Employee Two:
From the points (1, 15) and (3, 45), the increase in earnings is 45 - 15 = 30 units when the number of hours worked increases by 3 - 1 = 2 hours.
The rate of change for Employee Two is 30 / 2 = 15 units per hour.
Comparing the rates of change, Employee Two earns more per hour with a rate of 15 units per hour, while Employee One earns 12.5 units per hour.
For Employee One:
From the points (2, 25) and (4, 50), the increase in earnings is 50 - 25 = 25 units when the number of hours worked increases by 4 - 2 = 2 hours.
The rate of change for Employee One is 25 / 2 = 12.5 units per hour.
For Employee Two:
From the points (1, 15) and (3, 45), the increase in earnings is 45 - 15 = 30 units when the number of hours worked increases by 3 - 1 = 2 hours.
The rate of change for Employee Two is 30 / 2 = 15 units per hour.
Comparing the rates of change, Employee Two earns more per hour with a rate of 15 units per hour, while Employee One earns 12.5 units per hour.
1 answer