Question

six tickets to a movie cost $76.50. what constant of proportionality relates the number of tickets and total cost? 6.00 6.25 12.00 12.75

Explanation:

Step1: Understand the problem

We know that the total cost \( C \) is proportional to the number of tickets \( n \), so \( C = k \times n \), where \( k \) is the constant of proportionality (cost per ticket). We need to find \( k \) when \( C = 76.50 \) and \( n = 6 \).

Step2: Calculate the constant of proportionality

To find \( k \), we use the formula \( k=\frac{C}{n} \). Substituting the given values: \( k = \frac{76.50}{6} \).

Calculating \( \frac{76.50}{6} = 12.75 \).

Answer:

12.75 (corresponding to the option with 12.75)