During filming, an IMAX camera uses 65-mm film at a rate of 5.6 ft/sHow much time does it take the camera to use a 400-foot roll of 65-mm film (in seconds)? Round to the nearest second.

To solve this problem, we need to determine the time it takes for the IMAX camera to use a 400-foot roll of film at a rate of 5.6 feet per second.

The formula to calculate the time required is:

\[
\text{Time} = \frac{\text{Total Length of Film}}{\text{Rate of Film Usage}}
\]

Plugging in the given values:

\[
\text{Time} = \frac{400 \, \text{ft}}{5.6 \, \text{ft/s}}
\]

Now, let's calculate:

\[
\text{Time} = \frac{400}{5.6} \approx 71.43 \, \text{seconds}
\]

Rounding to the nearest second:

\[
\text{Time} \approx 71 \, \text{seconds}
\]

So, it takes approximately **71 seconds** for the camera to use a 400-foot roll of 65-mm film.

Would you like more details, or do you have any other questions?

Here are 5 related questions for further exploration:

1. How many minutes does it take to use a 1000-foot roll of 65-mm film at the same rate?
2. If the rate of film usage increased to 7 ft/s, how long would it take to use a 400-foot roll?
3. How much film (in feet) would be used in 10 minutes at 5.6 ft/s?
4. What is the equivalent rate of film usage in meters per second if 1 foot = 0.3048 meters?
5. How does the film usage rate affect the overall cost of filming a scene?

**Tip:** When converting units, always double-check to ensure consistency throughout your calculations.

During filming, an IMAX camera uses 65-mm film at a rate of 5.6 ft/s. How much time does it take the camera to use a 400-foot roll of 65-mm film (in seconds)? Round to the nearest second.

Learn how to calculate the time it takes for an IMAX camera to use a 400-foot roll of 65-mm film at a rate of 5.6 feet per second. This step-by-step solution covers key mathematical concepts including rate of change and unit conversion. Suitable for Grades 6-8.

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