Question

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 all 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.

Answer 1

Answer: 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.

Explanation:

Given: The number of tennis balls placed into canisters is a function of the number of canisters.

Let 'x' be the number of canisters ( independent variable) and 'y' be the number of tennis balls ( dependent variable )

Then
`y=3x`

Since, x is the number of canisters and he can use up to 10.

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

Also here y is multiple of 3 therefore, the range of the function is all multiples of 3 from 0 to 30.

Answer 2

Option B and D

Explanation:

Given : Wong can use up to 10 canisters and he places exactly 3 tennis ball into each canister.

To find : Which statement is true regarding domain and range of the function.

Domain is defined as the value that can be put into the function.

Range is defined as the possible outputs from the function.

Therefore, by definition of domain and range.

In the given situation Wong can use up to 10 canisters, so the domain lie between 0-10

And he only place exactly 3 tennis balls into each canister so, the range of the function is all multiples of 3 from 0-30.

From the options B and D satisfying the given situation.