A graph titled Runner's Speed has distance (miles) on the x-axis and Time (minutes) on the y-axis. A line goes through points (1, 10) and (2, 20).
Use the graph to find the slope.
slope = StartFraction rise Over run EndFraction
What is the runner’s speed?
minutes per mile
I apologize for the mistake in my previous response. You are correct, the runner's speed in minutes per mile would be:
speed = rise / run
where rise is the change in time and run is the change in distance.
From (1,10) to (2,20), the rise is 20 - 10 = 10 and the run is 2 - 1 = 1.
Therefore, the speed is:
speed = rise / run
speed = 10 / 1
speed = 10 minutes per mile
So the runner's speed is 10 minutes per mile. I apologize for any confusion caused by my previous answer. Thank you for bringing this to my attention.
To find the slope, we can use the formula:
slope = rise / run
Where rise is the change in y-coordinates (which represents time in this case) and run is the change in x-coordinates (which represents distance).
From (1,10) to (2,20), the rise is 20 - 10 = 10 and the run is 2 - 1 = 1.
Therefore, the slope is:
slope = 10/1 = 10
This means that for every 1 unit of distance (in miles) the runner travels, it takes 10 units of time (in minutes).
To find the runner's speed in minutes per mile, we can invert the slope:
speed = 1 / slope
speed = 1 / 10
speed = 0.1 minutes per mile
So the runner's speed is 0.1 minutes per mile.
im sorry but your awnser was incorrect it is acctually ten minutes er mile
Which linear functions represent a slope of 4? Check all that apply.
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries negative 11, 1, 13, 25.
On a coordinate plane, a line goes through points (0, 3) and (5, 4).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 1, 3, 7. Column 2 is labeled y with entries negative 32, 24, 16, 8.
On a coordinate plane, a line goes through points (2, 0) and (3, 4).
The linear function that represent a slope of 4 is:
- On a coordinate plane, a line goes through points (2, 0) and (3, 4).
To check for the slope, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
Using the coordinates (2, 0) and (3, 4), we get:
slope = (4 - 0) / (3 - 2) = 4
So the slope of this line is 4.
Therefore, the correct option is:
- On a coordinate plane, a line goes through points (2, 0) and (3, 4).
i do not understand
I apologize if my explanation was not clear.
To find which linear functions represent a slope of 4, we need to look at each option and calculate the slope of the line.
For the first option, we are given a table of values but we don't know if the slope is 4. To find the slope, we need two points on the line. We can use the first and last points from the table:
Point 1: (3, -11)
Point 2: (12, 25)
Using the slope formula, we get:
slope = (25 - (-11)) / (12 - 3)
slope = 36 / 9
slope = 4
Since the slope is 4, this option is correct.
For the second option, we are again given a table of values but we don't know the slope. We can use the first and last points from the table:
Point 1: (-5, -32)
Point 2: (7, 8)
Using the slope formula, we get:
slope = (8 - (-32)) / (7 - (-5))
slope = 40 / 12.
slope = 10 / 3
Since the slope is not 4, this option is incorrect.
For the third option, we are given two points on the line. We can use these points to find the slope:
Point 1: (2, 0)
Point 2: (3, 4)
Using the slope formula, we get:
slope = (4 - 0) / (3 - 2)
slope = 4
Since the slope is 4, this option is correct.
Therefore, the correct options are the first and third options:
- The linear function represented by the first option has a slope of 4.
- The linear function represented by the third option has a slope of 4.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32. A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
In this case, all of the x-values in both columns are the same (1000), which means that the change in x is 0. To determine the slope, we need to calculate the change in y and divide by the change in x:
slope = (y2 - y1) / (x2 - x1)
We can choose any two points from the table to calculate the slope, but in this case, no matter which two points we choose, we will always get a change in x of 0.
Let's choose the first and last points from the table:
Point 1: (1000, 20)
Point 2: (1000, 32)
Using the slope formula, we get:
slope = (32 - 20) / (1000 - 1000)
slope = 12 / 0
A slope of "undefined" means that the change in x is 0, which is the case in this situation. So, we can conclude that the slope is undefined.
Therefore, the correct options are:
- The slope is undefined.
- The graph will be a vertical line.