Pergunta

1)) Rosanne bought a 1 ,000-milliliter bottle of fluoride mouthwash to use before bed. Each night, she rinses her mouth with 10 milliliters of mouthwash, so the bottle will last for 100 uses. The function V(n) represents the volume of mouthwash, in milliliters remaining in the bottle after n uses. 1)) What is the domain of V(n) all whole numbers from 0 to 10 all whole numbers all whole numbers from 0 to 100 all whole numbers from 0 to 1,000
Solução

4.6293 Voting

Valentina MariaEspecialista · Tutor por 3 anos
Responder
The domain of \(V(n)\) is all whole numbers from 0 to 100.
Explicação
## Step 1<br />The problem involves the concept of functions and their domains. The function \(V(n)\) represents the volume of mouthwash remaining in the bottle after \(n\) uses. The domain of a function is the set of all possible input values (in this case, \(n\), which represents the number of uses) for which the function is defined.<br /><br />## Step 2<br />Rosanne has a 1,000-milliliter bottle of mouthwash and uses 10 milliliters each night. Therefore, the bottle will last for \(1000/10 = 100\) uses. This means that the function \(V(n)\) is defined for all whole numbers from 0 to 100, as the bottle will be empty after 100 uses.<br /><br />## Step 3<br />The other options are not correct because:<br />- The domain is not all whole numbers from 0 to 10, because the bottle will be empty before 10 uses.<br />- The domain is not all whole numbers, because the function is not defined for numbers greater than 100.<br />- The domain is not all whole numbers from 0 to 1,000, because the bottle will be empty before 1,000 uses.
Clique para avaliar: