a line passing through which of the following pairs of coordinates represents a porportipnal relationship? (3,6) and (4,8)
The line passing through the points (3,6) and (4,8) represents a proportional relationship.
To check, we can calculate the slope of the line using the slope formula:
slope = (change in y)/(change in x) = (8-6)/(4-3) = 2/1
Since the slope is a constant value of 2, the relationship between the x and y values is proportional. This means that as the x value increases by one, the y value increases by a constant factor of 2.
Therefore, we can say that the points (3,6) and (4,8) have a proportional relationship, and the line passing through them represents this relationship.
the seventh grade choir sold pizzas as a fundraiser. the choir teacher created a graph below for the students. based on the graph what is the unit rate of profit for pizzas. the graph starts from 0 on x and goes to the last number of 18 on x and for y the top is 36 and bottom zero
Unfortunately, there is no graph provided for us to analyze and determine the unit rate of profit for pizzas. Please provide the graph or any other relevant information for us to be able to answer the question.
from top to bottom y 36,30,24,18,12,6,0. x is 18 16 14 12 10 8 6 4 2 0 for x it was right to left
To find the unit rate of profit for pizzas, we need to determine the amount of profit gained from selling one pizza.
From the graph, we can see that the profit earned ranges from $0 to $36, and the number of pizzas sold ranges from 0 to 18.
To find the unit rate of profit, we need to divide the total profit by the total number of pizzas sold:
Unit Rate of Profit = Total Profit ÷ Total Number of Pizzas Sold
We can estimate the total profit from the graph by finding the area of the trapezoids formed by the bars on the graph. The width of each bar is 2, so we can estimate the height of each trapezoid by finding the average of the two heights of the corresponding bar.
Using this method, we can estimate the total profit to be about $180.
The total number of pizzas sold is also 18, so we can calculate the unit rate of profit:
Unit Rate of Profit = $180 ÷ 18 = $10 per pizza
Therefore, the unit rate of profit for pizzas is $10 per pizza.
To determine if a line passing through two pairs of coordinates represents a proportional relationship, we need to check if the ratio between the y-coordinates (output values) is the same as the ratio between the x-coordinates (input values).
Let's do the calculations:
For the pair of coordinates (3,6):
- x-coordinate = 3
- y-coordinate = 6
For the pair of coordinates (4,8):
- x-coordinate = 4
- y-coordinate = 8
Now let's calculate the ratio between the y-coordinates:
y-coordinate ratio = (y-coordinate of the second pair)/(y-coordinate of the first pair)
= 8/6
= 4/3
Next, calculate the ratio between the x-coordinates:
x-coordinate ratio = (x-coordinate of the second pair)/(x-coordinate of the first pair)
= 4/3
If the y-coordinate ratio and the x-coordinate ratio are equal, then the line passing through the two pairs of coordinates represents a proportional relationship.
In this case, the y-coordinate ratio (4/3) is equal to the x-coordinate ratio (4/3). Therefore, the line passing through the coordinates (3,6) and (4,8) represents a proportional relationship.