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Answer :
To find the total cost of all the tickets for the field trip, we need to consider the relationship between the number of students and the cost per ticket.
1. Identify the given information:
- Each movie ticket costs [tex]$6.00.
- The number of students receiving tickets is \( n \).
2. Understand the relationship:
- The problem states that the number of students \( n \) is proportional to the total cost \( C \). When we say "proportional," it typically means there's a constant factor relating the two quantities.
3. Formulate the equation:
- Since each ticket costs $[/tex]6.00 and a total of [tex]\( n \)[/tex] students are buying tickets, the total cost [tex]\( C \)[/tex] is calculated by multiplying the number of students [tex]\( n \)[/tex] by the cost per ticket.
- This means: [tex]\( C = 6.00 \times n \)[/tex].
4. Choose the correct equation:
- Looking at the options provided:
- A. [tex]\( \$6.00 + n = C \)[/tex]
- B. [tex]\( \frac{\$6.00}{n} = C \)[/tex]
- C. [tex]\( \frac{n}{\$6.00} = C \)[/tex]
- D. [tex]\( \$6.00 \times n = C \)[/tex]
- Option D: [tex]\( \$6.00 \times n = C \)[/tex] correctly represents the relationship between the cost per ticket and the number of students. It’s the equation that calculates the total cost of the tickets for [tex]\( n \)[/tex] students.
Therefore, the correct answer is D.
1. Identify the given information:
- Each movie ticket costs [tex]$6.00.
- The number of students receiving tickets is \( n \).
2. Understand the relationship:
- The problem states that the number of students \( n \) is proportional to the total cost \( C \). When we say "proportional," it typically means there's a constant factor relating the two quantities.
3. Formulate the equation:
- Since each ticket costs $[/tex]6.00 and a total of [tex]\( n \)[/tex] students are buying tickets, the total cost [tex]\( C \)[/tex] is calculated by multiplying the number of students [tex]\( n \)[/tex] by the cost per ticket.
- This means: [tex]\( C = 6.00 \times n \)[/tex].
4. Choose the correct equation:
- Looking at the options provided:
- A. [tex]\( \$6.00 + n = C \)[/tex]
- B. [tex]\( \frac{\$6.00}{n} = C \)[/tex]
- C. [tex]\( \frac{n}{\$6.00} = C \)[/tex]
- D. [tex]\( \$6.00 \times n = C \)[/tex]
- Option D: [tex]\( \$6.00 \times n = C \)[/tex] correctly represents the relationship between the cost per ticket and the number of students. It’s the equation that calculates the total cost of the tickets for [tex]\( n \)[/tex] students.
Therefore, the correct answer is D.
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