If 2 days and 1 hour is $539 how long is $451

To find how long $451 will last, given that 2 days and 1 hour costs $539, let's go through the calculations.

1. **Convert 2 days and 1 hour to hours:**
   - $2$ days $= 2 \times 24 = 48$ hours.
   - Adding the additional 1 hour, we have:
     \[
     48 + 1 = 49 \text{ hours}
     \]

2. **Determine the hourly rate:**
   \[
   \text{Hourly rate} = \frac{539}{49} \approx 11 \text{ dollars per hour}
   \]

3. **Calculate the number of hours for $451:**
   \[
   \text{Hours for } 451 = \frac{451}{11} \approx 41 \text{ hours}
   \]

So, $451 will last approximately **41 hours**.

Would you like further details on any step? 

Here are some additional related questions to explore:

1. What if the rate increased by 10%? How long would $451 last?
2. If only $400 were available, how many hours would it cover?
3. How many hours could $600 cover at the same rate?
4. If there was a fixed additional fee, how would that affect the calculation?
5. How would this calculation change if the rate was per minute rather than per hour?

**Tip:** Always double-check units (hours, days, etc.) when converting time in rate problems to avoid mistakes.

If 2 days and 1 hour is $539, how long is $451?

Learn how to determine the number of hours $451 can cover if 2 days and 1 hour costs $539. This solution includes time conversion and unit rate calculations, guiding students through proportional reasoning. Suitable for Grades 6-8.

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