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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 ?

Sagot :

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:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

For the first plane, we have that when [tex]x = 2, y = 320[/tex], and this is used to find k, hence:

[tex]y = kx[/tex]

[tex]2k = 320[/tex]

[tex]k = \frac{320}{2}[/tex]

[tex]k = 160[/tex]

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 https://brainly.com/question/10424180

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