rebekah manages a yoga studio that charges each customer a one - time initial fee of $35 and an additional…
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. rebekahs 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.
Answer
Explanation:
Step1: Set up the inequality
The total amount a customer spends is the initial fee plus the fee per - class times the number of classes. The initial fee is $35 and the fee per class is $12. So the total amount $A = 35+12C$. Rebekah wants $A\geq100$, so the inequality is $35 + 12C\geq100$.
Step2: Solve the inequality for $C$
Subtract 35 from both sides of the inequality: $12C\geq100 - 35$, which simplifies to $12C\geq65$.
Step3: Isolate $C$
Divide both sides of the inequality by 12: $C\geq\frac{65}{12}=5\frac{5}{12}$. Since the number of classes must be a whole number, we round up to the next whole number.
Answer:
6