Question

The price p (in dollars ) varies directly with the number of admissions to a museum. The muscum charges $12 for 5 student admissions. Write a direct variation equation that relates p and a. Then find the total admission price for 30 students.

Answer 1

The direct variation equation based on the given data is p = 2.40a, where p is the total price in dollars and a is the number of admissions. For 30 students, the total admission price is calculated as p = 2.40 x 30, resulting in p = $72.

Step-by-step explanation:

The question involves forming a direct variation equation from provided data and then using this equation to solve for the total admission price for 30 students visiting a museum. The given data states that the museum charges $12 for 5 student admissions, implying that the price per student is $12 / 5 = $2.40. Hence, the direct variation equation can be written as p = 2.40a, where p is the total price and a is the number of students. To find the total price for 30 students, we substitute a with 30 in the equation: p = 2.40 × 30. This yields p = $72. Therefore, the total admission price for 30 students is $72.