A cab company charges a flat fee of $2.00 plus a rate per mile. For instance, the cost for a 50 mile ride is $14.50. Let D be the miles traveled and C is the cost of the cab ride. Complete the equation for the relationship between the cost and the number of miles.

C = 2 + 0.25 D

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The cost of the cab ride (C), must be equal to the fixed fee (2) plus the product of the charge per mile (x) and the number of miles traveled (D)

C= 2 + Dx

Since the cost for a 50 mile ride is $14.50:

14.50 =2 + 50x

Solving for x:

14.50-2 = 50x

12.50 =50x

12.50/50 = x

0.25 = x

The cab company charges $0.25 per mile.

Back with the original equation:

C = 2 + 0.25 D

Feel free to ask for more if needed or if you did not understand something.