To determine how long it will take Caroline to sketch 12 cartoon strips, we first need to find out her sketching rate.
Caroline sketches 8 cartoon strips in 2 hours. Therefore, her rate can be calculated as follows:
\[ \text{Rate} = \frac{\text{Number of strips}}{\text{Time}} = \frac{8 \text{ strips}}{2 \text{ hours}} = 4 \text{ strips per hour} \]
Now that we know she sketches at a rate of 4 strips per hour, we can find out how long it takes her to sketch 12 strips.
To find the time required to sketch 12 strips, we use the formula:
\[ \text{Time} = \frac{\text{Number of strips}}{\text{Rate}} \]
Substituting in the values:
\[ \text{Time} = \frac{12 \text{ strips}}{4 \text{ strips per hour}} = 3 \text{ hours} \]
Thus, it will take Caroline 3 hours to sketch 12 strips.