Question

hannah is purchasing x t-shirts that cost $13.50 each before tax. the function g(x) = 13.5x models the cost to purchase x t-shirts. the function f(x) = 0.25(13.6x) models the discount that will be applied to the cost of x t-shirts. what is the value of k if the function m(x) = kx represents the cost of x t-shirts after the discount but before tax?

Answer 1

Explanation:

for the basic costs of x t-shirts

g(x) = 13.5x

for the discount on the costs of x t-shirts

f(x) = 0.25(13.6x) are you sure ? to apply 25% discount we do this for the basic price of every t-shirt, and that is $13.50. not $13.60. I think you made a typo here and the true function is

f(x) = 0.25(13.5x)

m(x) = g(x) - f(x) = 13.5x - 0.25(13.5x) =

= (1 - 0.25)×13.5x = 0.75 × 13.5x = 10.125x

k = 10.125