Final answer:
The independent variable in Sarah's experiment is the brand of nail polish, the dependent variable is the days until first chip, and her hypothesis could be that a specific brand outlasts the others. There is no explicit control group, and constants include the same base and top coats, as well as a consistent weekly routine.
Step-by-step explanation:
In Sarah's experiment to determine which brand of nail polish lasts the longest without chipping, the independent variable is the brand of nail polish used (Essie, butter, OPI, and Sally Hanse), because this is the factor that is being changed to observe its effect on the dependent variable. The dependent variable is the number of days the nail polish lasts without chipping, as this is the outcome that is measured in response to the independent variable. A possible hypothesis could be 'OPI nail polish will last the longest without chipping compared to Essie, butter, and Sally Hanse brands.'
There is no explicit control group in this experiment because each brand of nail polish is being tested individually across different weeks; however, Essie could be considered a baseline or control reference since it is the brand Sarah normally uses. The experimental group consists of the nails painted with butter, OPI, and Sally Hanse since they are being tested against Sarah's usual brand. The constants in the experiment include the same bottom and top coat used for each nail polish, as well as Sarah's weekly routine.