Question

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)

Answer 1

Answer:

$f(x) = 0.80x$

Step-by-step explanation:

Given

$x \to price$

$discount \to 20\%$

$coupon = \ 50$

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:

$f(x) = Price - Price * Discount$

$f(x) = x - x * 20\%$

Factorize

$f(x) = x(1 - 20\%)$

Express percentage as decimal

$f(x) = x(1 - 0.20)$

$f(x) = x(0.80)$

$f(x) = 0.80x$