Question

Due to Covid-19 pandemic, many people nowadays are going to hospitals to have their check-ups. Due to increase in demand, many doctors increase their professional fees, as follows below. Give the piecewise function that represents this situation. • Up to 10 minutes costs ₽350 • Over 10 minutes to 20 minutes additional ₽ 30 • Every succeeding 1 minute beyond 20minutes will costs additional ₽5​

Answer 1

Answer:

We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which 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 in which 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

−

$

10

,

000

)

, if

S

>

$

10

,

000

.

Answer 2

Answer:

Up to 10 minutes costs ₽350 is the correct answer.

Hope it helps✌️