To find the value of $c$ when $d = 100$ and $t = 8$, we can use the given formula:

$d = 1ct$

Step-by-step solution:

1. Substitute the given values of $d$ and $t$ into the formula: $100 = 1 \times c \times 8$

2. Simplify the equation: $100 = 8c$

3. Solve for $c$: $c = \frac{100}{8} = 12.5$

So, the value of $c$ is 12.5.

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Would you like more details on how to solve this, or do you have any questions?

Here are 5 related questions:

1. How would the formula change if we had a different power on $t$?
2. Can we rearrange the formula for $t$ instead of $c$?
3. What would happen if $t$ was 0?
4. How do you solve for a different variable in similar equations?
5. Can you use this formula for other types of relationships between variables?

Tip: When solving equations for a variable, always isolate the variable you are solving for by performing the inverse of any operations around it.