Question

To Cool Auto pays commission based on the profit they

make from the vehicle. They pay 21% when profit is less
then $1000, They pay 22,5% when profit is between $1000
and $1200. When they earn a profit over $1200 they pay
23.5%. What formula should replace A, B, and C in the
following plecewise function if x represents the profit from
the sale? Fill in the blanks below,
if x < 81,000
c(x) =
{
if 81,000 < x < $1,200
if x > $1,200

Answer 1

The answer is below

Explanation:

Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less then $1000,they 21%, hence:

if x < 1000, c(x) = 0.21x

If the profit is less between $1000 and $1200,they 22.5%, hence:

if 1000 < x < 1200, c(x) = 0.225x

If the profit is greater than $1200,they 23.5%, hence:

if x > 1200, c(x) = 0.235x

Therefore the commission represented as a piecewise function is:

`c(x)=\left \{ {{0.21x\ \ x<1000} \atop {0.225x\ \ 1200<x<1000}} \atop {0.235x\ \ x>1200} \right.`