Question

Write a piece wise to model this situation

Answer 1

Answer:

We use piecewise functions to describe situations where a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business where the cost per piece of a certain item is discounted once the number ordered exceeds a certain value. Tax brackets are another real-world example of piecewise functions. For example, consider a simple tax system where incomes up to

$

10

,

000

are taxed at

10

%

and any additional income is taxed at

20

%

. The tax on a total income, S, would be

0.1

S if

S

≤

$

10

,

000

and

1000

+0.2(

S−$

10000) if S > $10,000.