Two airplanes are each traveling at a constant speed. The table below shows the total number of miles the first airplane traveled as a function of time.
Hours
2 3 4
Total Distance (miles) 320 480 640
The equation y= ax represents the total number of miles, y, traveled by the second plane as a function of the numbers of hours, x,
If the second plane is traveling faster, then what must be true about a ?

Using proportional relationships, it is found that for the second plane, a > 160.

A proportional relationship is modeled by an equation in the following format:

In which k is the constant of proportionality.

For the first plane, we have that when , and this is used to find k, hence:

The second plane is faster than the first, hence, the constant of proportionality is greater, so a > k -> a > 160.

For more on proportional relationships, you can check link

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step-by-step explanation: