For a large group of students, The Boston Ballet charges a flat rate of $50.00, plus $15.00 per ticket. How much would a school need to take a class of 25 students to see The Nutcracker? Use an equation with two variables to solve this problem.
A. $50.00
B. $3750.00
C. $1,265.00
D.$425.00
Let's define two variables in this problem:
x = number of tickets
y = total cost
We know that a flat rate of $50.00 is charged, so this amount is constant and does not depend on the number of tickets. Therefore, the flat rate can be represented as 50.00.
We are also given that there is an additional charge of $15.00 per ticket, so this charge depends on the number of tickets. Therefore, the charge per ticket can be represented as 15x.
Since the total cost is the sum of the flat rate and the charge per ticket, we can write the equation:
y = 50.00 + 15x
In this case, we want to find the total cost for a class of 25 students, so we need to substitute x = 25 into the equation and solve for y:
y = 50.00 + 15(25)
y = 50.00 + 375.00
y = 425.00
Therefore, a school would need to pay $425.00 to take a class of 25 students to see The Nutcracker.
The answer is D. $425.00