Jenna knits scarves and then sells them on Etsy, an online marketplace. Let C(x) = 4x + 20 represent the cost C in
dollars to produce 1 to 6 scarves.
b. What are the domain and range of C?

Respuesta :

Answer:

Domain of C={1,2,3,4,5,6}

Range of C={24,28,32,36,40,44}

Step-by-step explanation:

We are given that Jenna knits scarves and sells them on Etsy an online market place.

[tex]C(x)=4x+20[/tex]

Where C=Represents the cost in dollars

x=Number of scarves produced.

We have to find the domain and range of C.

Substitute x=1

[tex]C(1)=4(1)+20=[/tex]$24

Substitute x=2

[tex]C(2)=4(2)+20=[/tex]$28

[tex]C(3)=4(3)+20=[/tex]$32

[tex]C(4)=4(4)+20=[/tex]$36

[tex]C(5)=4(5)+20=[/tex]$40

[tex]C(6)=4(6)+20=[/tex]$44

Therefore, Domain of C={1,2,3,4,5,6}

Range of C={24,28,32,36,40,44}

Answer:

  • domain: {1, 2, 3, 4, 5, 6}
  • range: {24, 28, 32, 36, 40, 44}

Step-by-step explanation:

The domain is the set of values of x for which the function is defined. The problem statement tells you that is "1 to 6".

The range is the corresponding set of values the function can produce. For x = 1 to 6, 4x = 4 to 24, and 4x+20 = 24 to 44 in steps of 4 (dollars).