Answer:
To determine the y-intercept and the linear function for the cost of renting a car for a day, we can analyze the given information. The cost C(x) is composed of a fixed cost of $42 plus an additional cost of $1.85 per mile driven.
The y-intercept represents the value of C(x) when x (the number of miles driven) is zero. In this case, when no miles are driven, the only cost incurred is the fixed cost of $42. Therefore, the y-intercept is $42.
The linear function C(x) can be expressed as:
C(x) = 42 + 1.85x
In this equation, x represents the number of miles driven, and C(x) represents the total cost of renting the car for that distance. The fixed cost of $42 is added to the variable cost of $1.85 multiplied by the number of miles driven.
To calculate the total cost for any given number of miles driven, you would substitute that value into the equation and solve for C(x).
Explanation: