Could you use the distance equals speed × time formula but since we dont have a constant speed we use the formula and substitute the speed equation in place for speed and 6 in place for time since he traveled for 6 hours

Certainly! The formula for distance is given by:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

If you don't have a constant speed, but you want to use the formula with a speed equation, you can substitute your speed expression into the distance formula. Let's assume your speed is a function of time, \( s(t) \). 

If you want to calculate the distance traveled over 6 hours, it would look like this:

\[ \text{Distance} = s(t) \times 6 \]

Here, \( s(t) \) represents the speed at any time \( t \). If you have a specific speed function, you would need to define it (for example, \( s(t) = 2t + 3 \) or any other form).

1. If you provide a specific speed function, we can calculate the exact distance.
2. Do you have a specific speed function in mind?
3. Are you interested in average speed over those 6 hours?
4. Would you like to consider varying speed within that time frame?
5. Do you need a graphical representation of distance vs. time?

**Tip:** Always clarify whether your speed is constant or varies over time when using this formula to avoid confusion.

Could you use the distance equals speed × time formula but since we dont have a constant speed we use the formula and substitute the speed equation in place for speed and 6 in place for time since he traveled for 6 hours?

Explore how to calculate distance using the formula Distance = Speed × Time when speed is not constant. This guide demonstrates the substitution of a speed equation for variable speed over a 6-hour period, suitable for Grades 9-12.

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