Question

At Brown’s Grocery Store, a customer receives a 10% discount for any purchase over $100, but pays full price for any purchase of a lesser amount. What is the piecewise cost function, c(x), when the original purchase amount is x dollars?

Answer 1

Answer:

$\left \{ {{C = x  \:\:\:\:\:\:\: If\: x<=100} \atop {C = 0.9x  \:\:\:\:\:\:If \:x >100}} \right.$

Explanation:

purchase - discount = net amount

1 - 0.1 = 0.9 net amount

This will be the net cost after discount when purchase (x) are higher than $100