Answer:
The formula is
Step-by-step explanation:
The formula V = I R shows the relationship between voltage, current, and resistance.
It is given by the Ohm's law.
According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.
V = I R
where, V is the potential difference, I is the current and R is the resistance.
The resistance is given by
a) See below
b) y = 3x + 13
Step-by-step explanation:
a)
An example of story that is represented by the graph is the following:
Micheal is initially at a distance of 13 m from his house. Then, he walks at a speed of 3 meters per second away from the house, and after 5 seconds, he is at 28 m from the house.
Explanation:
In the graph, we have represented:
- Micheal's position along the y-axis
- The time along the x-axis
As we can see, when x = 0 (time = 0), Micheal's position is y = 13 m (here the origin refers to the position of the house). Then, the slope of the line is 3 m/s, which corresponds to Micheal's velocity (in a position-time graph, the slope is equal to the velocity).
b)
We want to find the equation that describes this graph.
The equation of a line can be written in the following form:
where
m is the slope
q is the y-intercept
The y-intercept is the value of y when x = 0: from the table, we see that when x = 0, then y = 13, so this is the y-intercept:
q = 13
The slope can be found by taking 2 points along the line and calculating the ratio between the change in the y-value and the change in the x-value:
Choosing (0,13) and (5,28) for the 2 points, we find:
So the slope is 3. Therefore, the equation of the line is