Question

A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that.

1) What are the first four terms of an arithmetic sequence in which "an" is the total amount a dancer pays, in dollars, for taking "n" ballet classes?
2) What is the explicit rule for the arithmetic sequence?
3) Keena paid a total of $94 to take ballet classes. How many classes did she take?

Answer 1

Keena paid a total of $94 for ballet classes, with $17 for the first class and $11 for each subsequent class. Solving the equation 17 + 11(x - 1) = 94 indicates that she attended 8 classes in total.

Step-by-step explanation:

The question asks us to determine how many ballet classes Keena attended if she paid a total of $94, with the cost being $17 for the first class and $11 for each subsequent class. We can set up a simple mathematical equation to find the solution.

Let's assume Keena took x classes in total. The cost of the first class is $17 and each class after that costs $11. So, we can represent the total cost by the following equation:

17 + 11(x - 1) = 94

Now, we can solve for x:

17 + 11x - 11 = 94

11x + 6 = 94

11x = 88

x = 8

Therefore, Keena took 8 classes in total.