Question

When is it more beneficial to solve a problem involving a proportional relationship using an equation than using a graph?

Answer 1

We need to compare the solutions that we can get mathematically with the one that we can get by observing a graph for a proportional relathionship.

A proportional relationship is something of the form:

y = k*x

Where k is the constant of proportionality.

Here the answer will be: When we need an exact solution.

Now, why is better to solve this using the equation than using a graph?.

The benefit is that with the equation we will always get an exact solution, while when reading the graph we are estimating the solution (particularly in graphs that are hard to read, a thing that happens when k is an irrational number for example).

And for obvious reasons, the exact solution is always better than an estimate.

So, answering the question: when is more beneficial to solve a problem involving a proportional relationship using an equation than using a graph?

When we need an exact solution.

If you want to learn more, you can read:

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