After tennis practice, Wong places tennis balls into canisters. He can use up to 10 canisters, and he places exactly 3 tennis balls into each canister. The number of tennis balls placed into canisters is a function of the number of canisters. Which statements are true regarding the domain and range of this function? Select two that apply.

A. The domain of the function is all real numbers from 0 to 10.

B. The domain of the function is all whole numbers from 0 to 10.

C. The domain of the function is all whole numbers from 0 to 30.

D. The range of the function is all multiples of 3 from 0 to 30.

E. The range of the function is all whole numbers from 0 to 30.

Question

Maxwell Gilbert

Mathematics

2 January, 04:07

After tennis practice, Wong places tennis balls into canisters. He can use up to 10 canisters, and he places exactly 3 tennis balls into each canister. The number of tennis balls placed into canisters is a function of the number of canisters. Which statements are true regarding the domain and range of this function? Select two that apply.

A. The domain of the function is all real numbers from 0 to 10.

B. The domain of the function is all whole numbers from 0 to 10.

C. The domain of the function is all whole numbers from 0 to 30.

D. The range of the function is all multiples of 3 from 0 to 30.

E. The range of the function is all whole numbers from 0 to 30.

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Answers (1)

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Anneliese · Answer 1

Options B and D

The domain of a function is the values that can be input into the function and the range of a function is the possible outputs from the function. Since Wong can use up to 10 canisters, the domain would be all integers between 0 and 10 inclusive. And since he uses exactly 3 balls per contained, the range will be all integer multiples of 3 ranging from 0 to 30 inclusive. Examining the available options, only option "B" is correct about the range (you can't have fractional containers, so option A won't work). Option "D" is correct for the range.