You have a $50 coupon from the manufacturer good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 20% discount on all cell phones. Let x represent the regular price of the cell phone. Use the word bank below to complete each blank. [Click on the phrase to fill in the blank. You do NOT need to type.] A.] Suppose only the 20% discount applies. Find a function \large f\left(x\right) that models the purchase price of the cell phone. f(x)

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Answer:

[tex]f(x) = 0.80x[/tex]

Step-by-step explanation:

Given

[tex]x \to price[/tex]

[tex]discount \to 20\%[/tex]

[tex]coupon = \$50[/tex]

Required

The function f(x) if only the discount applies

20% discount implies that the price will be reduced by 20%.

So, the function is:

[tex]f(x) = Price - Price * Discount[/tex]

[tex]f(x) = x - x * 20\%[/tex]

Factorize

[tex]f(x) = x(1 - 20\%)[/tex]

Express percentage as decimal

[tex]f(x) = x(1 - 0.20)[/tex]

[tex]f(x) = x(0.80)[/tex]

[tex]f(x) = 0.80x[/tex]