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
[tex]0 \le b \le 10[/tex]
The range is the set of valid outputs. Given this domain, that's
[tex] 0 \le W(b) \le 120[/tex]
Putting those together gives
Choice B
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
