Final answer:
The y-intercept of the cost function C(x) = 37 + 0.95x, representing the cost of renting a car, is $37, which indicates the fixed cost of the rental independent of mileage.
Step-by-step explanation:
In this scenario, the independent variable is the number of miles driven, represented by x. The dependent variable is the cost of renting a car for a day, represented by C(x).
The equation for the cost is given as C(x) = 37 + 0.95x, where 37 represents the fixed cost and 0.95 represents the cost per mile.
The y-intercept is the value of C(x) when x is 0.
It can be found by substituting 0 for x in the equation: C(0) = 37 + 0.95(0) = 37.
Therefore, the y-intercept is 37, and its units are dollars ($).