Write and graph an equation in two variables that shows the relationship between the time and the distance.
1 answer:
Answer:
The relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Step-by-step explanation:
We know that the equation of linear function in two variables in the slope-intercept form is
y = mx+b
where
- m is the rate of change or slope
- b is the y-intercept
Let y be the distance
Let t be the time
Given that the object moves 15 meters in 1 second.
Thus, the rate of change or slope = m = 15
As there is no initial condition in our case.
Thus the y-intercept b = 0
Now, substituting m = 15 and b = 0 in the linear function
y = mx+b
y = 15x + 0
y = 15x
Therefore, the relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Examples:
Calculate the distance in 1 second
put x = 1 in the equation
y = 15(1) = 15 meters
Calculate the distance in 10 second
put x = 10 in the equation
y = 15(10) = 150 meters
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