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A hobby store prices model train track using a proportional relationship between the length of track (in inches) and the cost in dollars.

If 6.4
6
.
4
inches of track costs $16
$
16
, what is the constant of proportionality?

A hobby store prices model train track using a proportional relationship between the length of track in inches and the cost in dollars If 64 6 4 inches of track class=

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Answer:

If... 6.4 inches : 16 dollars

Then... 32 inches = 80 dollars.  

And, 1 inch of track = 80/32 dollars.

80/32 = 2.5.

So, the answer is: 1 inch of track costs 2.5 dollars.

The  constant of proportionality is $2,50.

The equation used to represent direct proportionality is: y = kx

Where:

y = dependent variable

x = independent variable

k = constant of proportionality

Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.

$16 = 6.4k

k = 16 / 6.4 = $2.5

A similar question was answered here: https://brainly.com/question/17033082

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