Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of 12 per class taken. Rebekah's goal is for each customer to spend at least 100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal. Let C represent the number of classes a customer takes.
1) Which inequality describes this scenario?
2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?

The minimum number of classes a customer can take for Rebekah to meet her goal is 5.42 classes

Initial fee = $35

Additional fee per class = $12

Rebekah's goal is for each customer to spend at least 100 at the studio,

Let

x = number of classes

The inequality:

35 + 12x ≥ 100

12x ≥ 100 - 35

12x ≥ 65

x ≥ 65 / 12

x = 5.42

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1)  The inequality that describes the scenario is:

35  +  12C  ≥  100

2) The minimum number of classes a customer can take for Rebekah to meet her goal = 6

One-time initial fee = $35

Additional fee per class = $12

Minimum target = $100

Number of classes = C

One-time initial fee  +  (Additional fee per class) x (Number of classes) ≥ Minimum target

The inequality that describes the scenario is:

35  +  12C  ≥  100

Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal

12C  ≥  100 - 35

12C  ≥  65

C   ≥   65 / 12

C  ≥  5.42

The minimum number of classes a customer can take for Rebekah to meet her goal = 6

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