The statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
What is a solution?
"It is a point or set of points (x, y) that satisfies all the constraints of the given problem."
What is is viable solution?
"It is a solution that makes sense in context as well as mathematically. "
What is system of equations?
"It is a set of equations for which we find a common solution."
For given question,
Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground.
Given that, x represents the time, in seconds, since the timer starts.
The graph shows the vertical height of the tennis ball and balloon, in feet.
The solution to the system of equations are the points at which the graphs to the system of equations intersect each other.
From the given graph we can observe that,
the graphs intersect at points having the x values near x = 1.2 and x = -3.2 This means, there are two possible solutions.
But we know that the negative value of x (time) is not viable.
Therefore, the statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
Learn more about system of equations here:
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