Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function W (b) = 12b represents the total amount of wood that Owen would need to build b birdhouses. What domain and range are reasonable for the function?

A.

D: 0 ≤ b ≤ 120

R: 0 ≤ W (b) ≤ 10

B.

D: 10 ≤ b ≤ 12

R: 0 ≤ W (b) ≤ 120

C.

D: 0 ≤ b ≤ 10

R: 12 ≤ W (b) ≤ 120

D.

D: 0 ≤ b ≤ 10

R: 0 ≤ W (b) ≤ 120

Question

Mathematics

Juliet

18 January, 23:40

Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function W (b) = 12b represents the total amount of wood that Owen would need to build b birdhouses. What domain and range are reasonable for the function?

A.

D: 0 ≤ b ≤ 120

R: 0 ≤ W (b) ≤ 10

B.

D: 10 ≤ b ≤ 12

R: 0 ≤ W (b) ≤ 120

C.

D: 0 ≤ b ≤ 10

R: 12 ≤ W (b) ≤ 120

D.

D: 0 ≤ b ≤ 10

R: 0 ≤ W (b) ≤ 120

+5

Answers (1)

Know the Answer?

Lindsay Ho · Answer 1

D. D: 0 ≤ b ≤ 10; R: 0 ≤ W (b) ≤ 120

Step-by-step explanation:

The problem statement tells you Owen can build up to 10 birdhouses, and that b represents that number. Then 0 ≤ b ≤ 10 is the domain described by the problem statement.

It also tells you that W (b) = 12b, so filling in values from 0 to 10 gives a range from 0 to 120: 0 ≤ W (b) ≤ 120.

These observations match choice D.