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Veronika [31]
3 years ago
15

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 ≤ 10

R: 12 ≤ W(b) ≤ 120

B. D: 0 ≤ b ≤ 10

R: 0 ≤ W(b) ≤ 120

C. D: 10 ≤ b ≤ 12

R: 0 ≤ W(b) ≤ 120

D. D: 0 ≤ b ≤ 120

R: 0 ≤ W(b) ≤ 10
Mathematics
2 answers:
Ber [7]3 years ago
4 0

Not the best problem. W(b) gives wood as a function of the number of birdhouses. The domain is the set of valid inputs. They're looking for an answer I don't quite agree with but we'll write anyway as


0 \le b \le 10


The range is the set of valid outputs. Given this domain, that's


0 \le W(b) \le 120


Putting those together gives


Choice B



goldenfox [79]3 years ago
3 0

Answer:

Correct option is:

B.    D: 0 ≤ b ≤ 10

       R: 0 ≤ W(b) ≤ 120

Step-by-step explanation:

Owen has enough materials to build up to 10 birdhouses in shop class.

The function W(b) = 12b represents the total amount of wood that Owen would need to build b birdhouses.

B represents the number of birdhouses which can be up to 10

i.e.  0 ≤ b ≤ 10    (which is the domain)

Multiplying each side of the above inequality by 12

⇒  0≤ 12b ≤120

⇒   0 ≤ W(b) ≤ 120         (which is the range)

Hence, Correct option is:

B.    D: 0 ≤ b ≤ 10

       R: 0 ≤ W(b) ≤ 120

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