Question

HELP ME PLS
A vendor has 30 umbrellas to sell. He sells them for $20 each. The function m(u) = 20u models the total amount of money the vendor makes from selling u umbrellas. What are the practical domain and range of the function?

Answer 1

Answer:

Domain={0,30},Range={0,600}

Step-by-step explanation:

Total umbrellas=30

Price of each umbrella=$20

m(u)=20u

where

u is number of umbrellas

m(u) total amount vendor makes by selling u number of umbrellas

So Practically,The extreme cases are

• when the vendor sells 0 umbrellas/ no umbrellas
• when he sells all the umbrellas

So Domain is {0,total number of umbrellas}={0,30}

Putting this extreme value of domains as u in function m(u),

we get the range of m(u)={0$\times$$20,30$\times$$20}

⇒ Range={0,$600}