Graph the information
Andrew started at home. For the first 20 minutes, he traveled a constant speed and traveled 5 miles. Cor the next 10 minutes he rested. Then drove home which took 20 minutes.
To graph this information, we can use a horizontal timeline as the x-axis, representing time in minutes, and a vertical line as the y-axis, representing distance in miles.
First, we'll mark Andrew's starting point at home on the x-axis.
2-------------------------------> (Time in minutes)
0------------------------------->
Next, we'll plot Andrew's movement for the first 20 minutes. He traveled at a constant speed of 5 miles, so we'll mark a point at (20, 5) on the graph.
2-------------------------------> (Time in minutes)
|
|
| *
|
0------------------------------->
After this, Andrew rested for the next 10 minutes. We'll mark this on the graph.
2-------------------------------> (Time in minutes)
|
|
*
| *
0------------------------------->
Finally, Andrew drove back home, which took 20 minutes. Since he would have traveled the same 5 miles back, we'll mark this point at (50, 5) on the graph.
2-------------------------------> (Time in minutes)
*
|
|
*
| *
0------------------------------->
This is the graph representing Andrew's journey.
Wrong
Apologies for the mistake. Here is the correct graph:
First, we'll mark Andrew's starting point at home on the x-axis.
0-------------------------------> (Time in minutes)
0------------------------------->
Next, we'll plot Andrew's movement for the first 20 minutes. He traveled at a constant speed of 5 miles, so we'll mark a point at (20, 5) on the graph.
0-------------------------------> (Time in minutes)
|
|
* |
|
0------------------------------->
After this, Andrew rested for the next 10 minutes. We'll mark this on the graph.
0-------------------------------> (Time in minutes)
|
* |
|
* |
0------------------------------->
Finally, Andrew drove back home, which took 20 minutes. Since he would have traveled the same 5 miles back, we'll mark this point at (30, 0) on the graph.
0-------------------------------> (Time in minutes)
* |
|
* |
0------------------------------->
This is the corrected graph representing Andrew's journey.
What's the 4th graph plot if im now at 30,5
If Andrew is located at (30, 5), then the fourth point on the graph would correspond to this position. Here is the updated graph:
0-------------------------------> (Time in minutes)
* |
|
* |
0------------------------------->
*
|
* |
0------------------------------->
This represents Andrew's position at (30, 5) on the graph.
Write an equation from slope-intercept form based on the table below
x side: 0 , -6 , -12 , -18
y side: 1, -1, -3 , -5
y=?x+?
To find the equation in slope-intercept form (y = mx + b), we need to determine the values of the slope (m) and the y-intercept (b).
To find the slope (m), we can use the formula:
m = (change in y) / (change in x)
Using the values from the table:
(change in y) = -5 - 1 = -6
(change in x) = -18 - 0 = -18
m = (-6) / (-18) = 1/3
Now, to find the y-intercept (b), we can substitute the values of x and y from any point in the table into the slope-intercept form equation and solve for b.
Let's choose the point (0, 1):
1 = (1/3)(0) + b
1 = b
Therefore, b = 1.
Now we can write the equation in slope-intercept form:
y = (1/3)x + 1
Write an equation from slope-intercept form using the table below
x side: 4 , 8 , 12
y side: 13 , 21 , 29
y=?x+?
To find the equation in slope-intercept form (y = mx + b), we need to determine the values of the slope (m) and the y-intercept (b).
To find the slope (m), we can use the formula:
m = (change in y) / (change in x)
Using the values from the table:
(change in y) = 29 - 13 = 16
(change in x) = 12 - 4 = 8
m = 16 / 8 = 2
Now, to find the y-intercept (b), we can substitute the values of x and y from any point in the table into the slope-intercept form equation and solve for b.
Let's choose the point (4, 13):
13 = 2(4) + b
13 = 8 + b
b = 13 - 8 = 5
Therefore, b = 5.
Now we can write the equation in slope-intercept form:
y = 2x + 5
write an equation from slope-intercept form using the table.
x side: 0 , 6 , 12 , 18
y side: 7 , 6 , 5 , 4
Y=?x+?