Trey buys his favorite fishing lure in quantity. The total amount, y, Trey pays for his purchase is proportional to the number, x, of favorite lures he buys. Each lure's price is $1.25. Which equation represents the total amount of Trey's purchase of his favorite lure?

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Answer:

y(x) = ($1.25/lure)x

Step-by-step explanation:

Let the total amount be y(x) (which says, "y is a function of x").  Then

y(x) = ($1.25/lure)x.

Checking this out, we see that 1 lure will cost $1.25, 2 will cost $2.50, and so on.  x represents the number of lures purchased.

      Equation representing the total amount of Trey's purchase for his favorite lure will be "y = 1.25x".

       Relation between the total amount 'y' and the number of lures 'x' is proportional.

Therefore, y ∝ x

⇒ y = kx   [Here, 'k' is the proportionality constant]

⇒ [tex]k=\frac{y}{x}[/tex]

If the price of each lure = $1.25

Therefore, [tex]k=\frac{1.25}{1}[/tex]

[tex]k=1.25[/tex]

By substituting the value of k,

y = 1.25x

    Therefore, equation representing the total amount of Trey's purchase for his favorite lure will be "y = 1.25x"

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