Question
A person who wants to get in shape goes to a local gym that advertises 54 training sessions for \( \$ 1331 \). Find the cost of 128 training sessions. Round your answer to the nearest cent.
Ask by Goodwin Huff. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The cost of 128 training sessions is approximately \$3,154.96.
Solution
To determine the cost of 128 training sessions based on the gym's pricing, follow these steps:
### Given:
- **Cost for 54 sessions:** \$1,331
### Step 1: Calculate the Cost per Session
First, find the cost of a single training session by dividing the total cost by the number of sessions.
\[
\text{Cost per session} = \frac{\$1,331}{54} \approx \$24.6481 \text{ per session}
\]
### Step 2: Calculate the Total Cost for 128 Sessions
Multiply the cost per session by the desired number of sessions (128).
\[
\text{Total cost} = \$24.6481 \times 128 \approx \$3,154.96
\]
### Final Answer:
**The cost of 128 training sessions is approximately \$3,154.96.**
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Simplify this solution Bonus Knowledge
To find the cost of 128 training sessions, we first need to determine the cost per training session from the given information. The total cost for 54 sessions is \( \$ 1331 \). First, calculate the cost per session: \[ \text{Cost per session} = \frac{1331}{54} \approx 24.61 \] Now, multiply the cost per session by the number of sessions (128): \[ \text{Cost for 128 sessions} = 128 \times 24.61 \approx 3157.68 \] Therefore, the cost for 128 training sessions is approximately \( \$ 3157.68 \).
