Answer: A piecewise function is a function that is defined by multiple equations, each with its own domain. The equation for the situation can be represented as a piecewise function as:
f(x) = { 2x, 0<x<=5}
f(x) = { 1.5x, x>5}
Where f(x) is the cost of x number of cookies.
The first equation represents the cost of x number of cookies when x is between 0 and 5 (inclusive). The second equation represents the cost of x number of cookies when x is greater than 5.
So, the piecewise function that represents the cost of x number of cookies based on the given conditions is:
f(x) = { 2x, 0<x<=5}
f(x) = { 1.5x, x>5}
It means if you buy x number of cookies and if x is between 0 and 5 (inclusive) then you are charged $2 per cookie and if x is greater than 5 then you are only charged $1.50 per cookie.
Explanation: