To analyze the situation, we can define the function based on the number of canisters Wong uses to determine the total number of tennis balls he places in the canisters.
Let:
- \( c \) = number of canisters Wong uses (can range from 0 to 10)
- The function relating canisters to tennis balls is: \( f(c) = 3c \)
Domain:
- Wong can use from 0 up to 10 canisters. Therefore, the domain of the function \( f(c) \) in this case is the count of canisters he can choose.
- Since \( c \) must be a whole number (he can't use a fraction of a canister), the options for \( c \) are 0, 1, 2, ..., 10.
Thus, the correct statement regarding the domain is: B. The domain of the function is all whole numbers from 0 to 10.
Range:
- The total number of tennis balls \( f(c) = 3c \) will yield the following values as \( c \) varies from 0 to 10:
- \( f(0) = 3 \times 0 = 0 \)
- \( f(1) = 3 \times 1 = 3 \)
- \( f(2) = 3 \times 2 = 6 \)
- \( f(3) = 3 \times 3 = 9 \)
- \( f(4) = 3 \times 4 = 12 \)
- \( f(5) = 3 \times 5 = 15 \)
- \( f(6) = 3 \times 6 = 18 \)
- \( f(7) = 3 \times 7 = 21 \)
- \( f(8) = 3 \times 8 = 24 \)
- \( f(9) = 3 \times 9 = 27 \)
- \( f(10) = 3 \times 10 = 30 \)
These evaluate to the following outputs for the function \( f(c) \): 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. Therefore, the range consists of:
- \( 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 \)
The range can be defined as all multiples of 3 from 0 to 30.
Thus, the correct statement regarding the range is: D. The range of the function is all multiples of 3 from 0 to 30.
Summary of Selected Statements:
- B. The domain of the function is all whole numbers from 0 to 10.
- D. The range of the function is all multiples of 3 from 0 to 30.