Final answer:
The questions pertain to defining variables in a linear equation for a scuba equipment rental scenario and calculating probabilities for a carpool arrangement using the normal approximation to the binomial distribution, all within the scope of high school level Mathematics.
Step-by-step explanation:
Understanding Linear Equations and Calculating Probabilities
The subject matter discussed in the questions relates to Mathematics, specifically to the concepts of linear equations and probability calculations. One of the problems presented involves determining the dependent and independent variables in the context of renting scuba equipment, and constructing a linear equation to represent the total fee as a function of the number of hours the equipment is rented. Another problem focuses on the use of the normal approximation to the binomial distribution to calculate probabilities for a carpool scenario over a period of days.
When discussing the scuba equipment rental, the dependent variable is the total fee, while the independent variable is the number of hours for which the equipment is rented. The equation that expresses the total fee in terms of the number of hours is given by: Total fee = $25 + ($12.50 × number of hours).
In the case of the carpool probability calculation, we use the normal approximation to compute the likelihood of different friends driving a car over a series of days. Appropriate calculations would consider the mean and standard deviation associated with the binomial distribution representing the scenario.