Question

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?

Answer 1

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

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).

Answer 2

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

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

Explanation:

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

`C(x)=4x+20`

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

`C(1)=4(1)+20=`$24

Substitute x=2

`C(2)=4(2)+20=`$28

`C(3)=4(3)+20=`$32

`C(4)=4(4)+20=`$36

`C(5)=4(5)+20=`$40

`C(6)=4(6)+20=`$44

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

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