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A farmer is selling watermelons. She has 43 watermelons and plans to sell them for $3 each. The farmer’s total sales, in dollars, is a function of the number of watermelons she sells. Select all the statements that correctly describe the domain or range of this function.

Responses

The domain is the set of all integers from 0 to 43.
The domain is the set of all real numbers from 0 to 43.
The range is the set of all integers between 0 and 129.
The range is the set of all multiples of 3 from 0 to 129.
all that apply
The range is the set of all multiples of 43 from 43 to 129.

User Ctranxuan
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1 Answer

4 votes

Answer:

In summary, the correct statements are:

The domain is the set of all integers from 0 to 43.

The range is the set of all multiples of 3 from 0 to 129.

this is the best i could do, make what you want of it, good luck

Explanation:

he domain of this function is the set of all possible inputs, which in this case is the number of watermelons the farmer can sell. Since the farmer has 43 watermelons and cannot sell a fraction of a watermelon, the domain is the set of all integers from 0 to 43. So, the first statement is correct.

The second statement is incorrect because the farmer cannot sell a fraction of a watermelon, so the domain cannot include all real numbers from 0 to 43.

The range of this function is the set of all possible outputs, which in this case is the total sales in dollars. Since the farmer sells each watermelon for $3, her total sales will be a multiple of 3. The minimum sales value is $0 (if she sells no watermelons) and the maximum sales value is $129 (if she sells all 43 watermelons). So, the range is the set of all multiples of 3 from 0 to 129. Therefore, the fourth statement is correct.

The third statement is incorrect because not all integers between 0 and 129 are possible values for the farmer’s total sales. For example, she cannot make $2 in sales because her sales will always be a multiple of 3.

The fifth statement is incorrect because it implies that the farmer can only make sales in multiples of 43, which is not true since she sells each watermelon for $3.

In summary, the correct statements are:

The domain is the set of all integers from 0 to 43.

The range is the set of all multiples of 3 from 0 to 129.

User Larme
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