Question 1037211
x = number of miles.
f = fixed cost for the first mile.
c = total cost.


total cost = fixed cost for the first mile plus 1.30 * the additional miles.


the formula for that is c = f + 1.30 * (x-1).


you are given that c = 14 and that x = 9.


the formula becomes 14 = f + 1.30 * (9-1).


simplify this equaiton to get 14 = f + 1.30 * 8.


simplify further to get 14 = f + 10.4


subtract 10.4 from both sides of this equation to get 14 - 10.4 = f


solve for f to get f = 14 - 10.4 = 3.6.


the cost for the first mile is 3 dollars and 60 cents.


the formula of 14 = f + 1.30 * 8 becomes 14 = 3.60 + 1.30 * 8 which becomes 14 = 3.60 + 10.4 which becomes 14 = 14, confirming the solution is correct.