Why would negative numbers not make sense for the values of the variables
2 answers:
For this case, what we are going to do is answer the question using an example.
Suppose that the equation of the height of a ball as a function of time is given by:
We want to find the time when the ball reaches the ground.
To do this, we must match the equation to zero:
From here, we clear the time.
The polynomial is of the second degree.
Therefore, it has two solutions.
Since we want to find time, then negative solutions do not make sense in this case.
Answer:
Negative values do not make sense for variables in some real-life problems.
Example: find the time when a ball hits the ground.
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Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then
...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get
Putting , we get
Therefore, the correct option is A.