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?
If 6.4
6
.
4
inches of track costs $16
$
16
, what is the constant of proportionality?
2 answers:
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Answer:
x = 36
Step-by-step explanation:
Subtract x and 36 from both sides.
Divide both sides by -1.
Square both sides.
Subtract 144x from both sides.
Factor the right side.
Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.
Check x = 36:
Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.