Question

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

domain 0,30 range 0,600

Explanation:

Answer 2

Explanation:

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

Total number of umbrellas=3

Price for each umbrella is =$20

m(u)=20u

as we know

u = umber 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$20,30$20}

⇒ Range={0,$600}