Answer:
Step-by-step explanation:
I think its B, (30)
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The slope of a line is the ratio of its "rise" to its "run." The "rise" is the change in vertical distance, and the "run" is the corresponding change in horizontal distance between two points on the line. The formula for the slope is ...
In this problem, you are told the line passes through the origin, which is point (x, y) = (0, 0), and through point (6, 2). Using these coordinates in the slope formula gives ...
__
You may notice that when the line passes through the origin, the slope is simply the ratio y/x of any point on the line. Here, that ratio is 2/6 = 1/3.
_____
<em>Additional comment</em>
A line through the origin is the graph of a <em>proportional</em> relationship. That is, y is proportional to x. The slope of the line is the <em>constant of proportionality</em>. The equation of the line is ...
y = kx . . . . . . where k is the constant of proportionality.
The line in this problem statement will have the equation ...
y = (1/3)x
As measured by the MAD, the variability ratio is
(MAD of 6th grade heights)/(MAD of 7th grade heights) = 1.2/0.6 = 2.0
The 4th selection is appropriate:
2.0
Answer:
5 days.
Step-by-step explanation:
We are told that one person has 3 dogs and each dog eats 2 pounds of food in one day.
Let us find amount of food needed for 3 dogs in 1 day by multiplying number of dogs (3) by amount of food eaten by one dog (2 pounds).
Now let us divide 30 by 6 to find the number of days available food will last.
Therefore, 30-pound bag of dog food will last for 5 days.
The graph would be y = 10x + 5 and the values for 5, 6 and 7 would be as follows (5, 55), (6, 65), and (7, 75).
In order to find this, first find the slope of the equation. You can do this by using the slope formula with any points given.
m (slope) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is the second. We'll use (1, 15) and (2, 25) as our points.
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(2 - 1)
m = 10/1
m = 10
Now that we have the slope, we can use a point and the slope to find the y-intercept.
y = mx + b
15 = 10(1) + b
15 = 10 + b
5 = b
Now we put that all together to complete the model.
y = 10x + 5
And we can use that formula to solve for x = 5, 6 and 7.