Questions: A person who wants to get in shape goes to a local gym that advertises 74 training sessions for 1093. Find the cost of 102 training sessions. Round your answer to the nearest cent.

A person who wants to get in shape goes to a local gym that advertises 74 training sessions for 1093. Find the cost of 102 training sessions. Round your answer to the nearest cent.
Transcript text: A person who wants to get in shape goes to a local gym that advertises 74 training sessions for $\$ 1093$. Find the cost of 102 training sessions. Round your answer to the nearest cent. $\$$ $\square$
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Solution

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Solution Steps

To find the cost of 102 training sessions, we first need to determine the cost per training session by dividing the total cost of 74 sessions by 74. Then, we multiply the cost per session by 102 to find the total cost for 102 sessions. Finally, we round the result to the nearest cent.

Step 1: Calculate the Cost per Training Session

To find the cost per training session, divide the total cost of 74 sessions by the number of sessions:

\[ \text{Cost per session} = \frac{1093}{74} \approx 14.77 \]

Step 2: Calculate the Total Cost for 102 Sessions

Multiply the cost per session by 102 to find the total cost for 102 sessions:

\[ \text{Total cost for 102 sessions} = 14.77 \times 102 \approx 1506.57 \]

Final Answer

\(\boxed{1506.57}\)

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