Question

state the practical meaning of the slope and y-intercept for the situation described. the cost, in dollars, of a one-day car rental is given by ( c = 25 + 0.15x ) where ( x ) is the number of miles driven. a. $0.15 is the cost per day to rent the car and $25 is the cost per mile. b. $25 is the cost per day to rent the car and $0.15 is the cost per mile. c. $15 is the cost per day to rent the car and $0.25 is the cost per mile. d. $25 is the cost per day to rent the car and $15 is the extra cost for unlimited miles. please select the best answer from the choices provided
○ a
○ b
○ c
○ d

Explanation:

The cost function is \( C = 25 + 0.15x \), which is in the form \( y = b + mx \) (linear equation). Here, the y - intercept \( b = 25 \) represents the fixed cost (cost when \( x = 0 \), i.e., 0 miles driven), so it's the cost per day to rent the car. The slope \( m = 0.15 \) represents the rate of change of cost with respect to miles driven, so it's the cost per mile. Option B matches this interpretation: $25 is the cost per day to rent the car and $0.15 is the cost per mile.

Answer:

B. $25 is the cost per day to rent the car and $0.15 is the cost per mile.