Mary is purchasing x shirts that cost 15 each before tax. The function h(x)=15x models the cost to purchase x shirts. - The function j(x)=0.20(15x) models the discount that will be applied to the cost of x shirts. (1) What is the value of k if the function m(x) - kx represents the cost of x shirts after the discount but before tax? Enter your response here: square Only 0,1,2,3,4,5,6,7,8,9,.,., and / are allowed in your answer. Mixed numbers are entered by adding a space after the whole number. Spaces are only allowed between whole numbers and fractions.

To find the value of k, we need to determine the cost of x shirts after the discount but before tax.

The function m(x) = kx represents the cost of x shirts after the discount but before tax.

Given that the function j(x) = 0.20(15x) models the discount that will be applied to the cost of x shirts, we can substitute this into the function m(x) to find the value of k.

m(x) = kx
j(x) = 0.20(15x)

Substituting j(x) into m(x), we get:

m(x) = k * j(x)
m(x) = k * 0.20(15x)

Simplifying the expression, we have:

m(x) = 0.20k * 15x

Since m(x) = kx, we can equate the two expressions:

kx = 0.20k * 15x

Dividing both sides of the equation by kx, we get:

1 = 0.20 * 15

Simplifying the right side of the equation, we have:

1 = 3

Therefore, the value of k is 3.